sin6x V1. Tentukan hasil dari limit berikut lim- x-0 5x Jawab: . sin4x + sin2x V2. Tentukan hasil dari limit berikut lim- x-0 3x Jawab: .. 4 sin5x V 3. Tentukan hasil dari limit berikut lim X→0 6 tan3x Jawab: ....

Q: 3-v49 B) Without using L'Hopital's rule, find: lim

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Q: 1 Find lim +3 using limit rules. 2.

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Q: Calculate each of the limits in Exercises

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1) Find limit 1. lim x-0 tan 3x x3+2x2-3x 2. lim x-3 x3-2x2-15x Vx+1-V2x 3. lim x-1 x2-x 1 4. lim- x…

A: Given

Q: 4) Find the value of a for which the limit lim x→0 evaluate the limit. sin(ax)-sinx-x x3 is finite…

A: To Find: The value of a for which the limit limx→0sin(ax)-sin(x)-xx3 is finite and then evaluate the…

Q: et +ex -x²-2 Lim- x-0 sin²x-x²

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Q: (1 cosr)dt 1. limx-0 2x -?

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Q: Зx2-14х +8 lim 7x-28 x+4

A: By factoring method: Take factors in numerator and denominator  Limx-4(3x2-14x+8)/(7x-28)         =…

Q: lim sin (-2 T x) = x → -3

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Q: TX-1 t. Lim ×つ○ 1

A: limx→0 πx-12x2    +πx(e2πx-1)=limx→0 πe2πxx-πx-e2πx+1+2πx2x2 (e2πx-1)   limx→0 πx-12x2…

Q: Find the limit: Lim x->0  2 sin2 3x / 3x2

A: Given,         limx→02sin23x3x2

Q: Q2: (a) By using " L' Hopital rules "; Find the limits of ::- (1) limx¬(n/2)-(tan x)cos x (2) limx-o…

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Q: Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x x2-16 2. lim x4 (Vx+5)-3

A: We need to find the limits of the given expressions by using the L.Hopital rule. For (1),

Q: Find the following limits.  limx->+infinity (sin2x)/(x2+1) limx->+infinity (e-2x cosx)…

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Q: sin(x – 3) lim X→3 + 6x – 27

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of : 1 (1) limx-o[: 1-cos x 2 sin²x

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Q: - m- J. lim x - 3 * x + 2 lim 2: *2x + 2'x² - x -6 3 m4 as x approaches m lim 2x – 12 lim x-+6 Vx –…

A: According to our guidelines, we can answer only 3 subparts of a question. Others can be reposted.

Q: 6. Calculate limit: lim tg x X→0 2-V4+3x

A: Here we have to calculate Limit =limx→0 tgx2-4+3x

Q: B) Find the limits by using L.Hopital rule: 7x 1. lim x-0 sin 2x x2-16 2. lim x-4 (Vx+5)-3

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Q: X- Zx +3x+2 lim

A: Solution of question as follows

Q: By L'Hopital's Rule, X-2 lim x→2 X²-1 1 1 lim. = x→2 2X 4

A: L’Hospital’s Rule: Suppose that  limx→a f(x)g(x)=00  OR  limx→a f(x)g(x)=±∞±∞ where a can be any…

Q: Q3 :(A): By using "L' Hopital rules "; Find the limits of : (1) limx-ol: 1-cos x - sin²x

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Q: В. Find the limit. х2-25 Зх — 1 1. lim х>-5 х + 5 5. lim х-1/3 9х2-1 Зx2—17х + 20 х3-1 2. lim х-4…

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Q: Q2: (a) By using " L' Hopital rules "; Find the limits of ::- (1) lim-(7/2)-(tan x)cosx (2) limy-0…

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Q: 1 Lim x→0* x0x 1 sin x

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Q: z² +et= 1-400 2z-e² 2* - 3* 17. lim- x-0 18. lim cotxln(x+1) x-0 16. lim-

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: 5. lim V2x +1 X-4 6. lim -) ズー1 x-1 CABA 3x+4 if x <-3 AT 7. lim f(x), where f(x) = 2-4 ifx2-3

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Q: Fird the domain of f (x) = 2-Vx2-5 Solve lim x→-3 =? (Don't use L'hopital Rule) x+3

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Q: 1 lim sinx x2 x→0

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Q: find the limit:  limx→∞ (ln x)^3 / x^2

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Q: • lim In (tanx) -Lーえ • Lim V9x* + ax 2 4x-1

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Q: (1) lim,-0 √x+9-3 X (2) lim-0 1–c05x x sinx (3) limx-1 x²+3x-4 x-1

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Q: (sin 2x)* - 4x →0+ x -

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Q: B) Find the limits by using L.Hopital rule: 7x 1. lim- X0 sin 2x -16 2. lim X-4 (Vx+5)-3

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Q: ) Evaluete tue limeit: lim (e*+3x) using L'Hopital's Peele if hecessany. af

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Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 (1) limx-o[: 1-cos x 2 sin²x (2)…

A: We have to find the limit using L Hospital rule.

Q: 1b. Use L'Hopital's Rule to find the Limit:    lim      2tanx/sec2x x-&gt;pi/2

A: To find the limit

Q: Q3 :(A): By using " L' Hopital rules "; Find the limits of: 1 2 (1) limx-o[: 1-cos x sin²x (2)…

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Q: 2x cos. X 17) lim --

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Q: How do you evaluate the limit:  limx--&gt;0 (1-cos(7t))/(sin(7t))   WITHOUT using L'Hospital's rule?

A: Since the given function is function of  variable t but in question limit is given for variable x.…

Q: 5) Find the indicated limit if it exist. 3- Vx + 7 а) lim x→2 2 - x x' +1 b) lim х>-1 х+1

A: (a).    We have to find the limit: limx→2 3-x+72-x

Q: Find the limit. lim x--> infinity  e3x+5/4e3x+ex-7

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Q: V5x+6-4 1. Use L'Hopital's rule to evaluate the limit: lim- x-2

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Q: (1) lim t2 (2) lim x0 Vx2 +3 2x + 1 -1 x00 7 - t2 x2 1 (4) lim 3t2 n2 (6) lim x0 Vn3 + 2n 5t (3) lim…

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Q: x2 + 2x + 1 lim x--2 x2 + x +1

A: There is no need for L hospital as the limit can be evaluated directly.

Q: x-3x+5 by X-0 4x2+2x+3 10. Find the limit: lim means of the L'Hopital Rule

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Q: 1f. Use L'Hopital's Rule to find the Limit: lim (tanx)x x-&gt;0+

A: Given,

Q: alignment at x² + x – 1 limx→ 2x2 — х + 1 has a horizontal at???

A: Topic = Limits

Q: Find the limit. lim(v² + x = x) = lim( Vx2 + x – x

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Q: -2x - 4 f) lim x--2 x + 2x ut | g) lim u-1 u3 1 4х — х2 h) lim x-4 2 - Vx Ya

A: As per our guideline we are supposed to answer only first three subparts. Kindly repost other parts.…

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.