(4-x-x² if x ≤ 3 if x > 3 2x-9 Calculate the following limits. Enter "DNE" if the limit does not exist. f(x) = Let f(x)= = lim 2-3- lim f(x) = z+3+ lim f(x) = 2-3 ori Question Help: Video

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A: Topic =Algebra

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A: The given limit is a divergent and it does not exists

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A: Given, A=-2314 AT=-2134

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A: Tangent to a curve y=f(x)  at a point (a,b) is given by y-b=f'(a)(x-a)

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A: We need to find composite function.

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A: I am attaching image so that you understand each and every step.

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A: The given differential equation is: ln xdxdy=xy

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A: We can show that the given function is discontinues .

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Q: Let f(x)=3x+5f(x)=3x+5 and g(x)=4x2+2xg(x)=4x2+2x. After simplifying, (f∘g)(x)=

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A: Here we have to use the concept of the limits. I have appended formula used in the solution part

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