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The graph of f(x) is shown (see figure). f(x) = 7x √x²+6 (a) Find the following limits. L = lim f(x) = 7 K = lim f(x) = -7 (b) Determine ×1 X1 Not drawn to scale and X2 in terms of ε. ×2 (c) Determine M, where M > 0, such that |f(x) - L| < ε for x > M. M = × (d) Determine N, where N < 0, such that f(x) - K| < ε for x < N. N =

The graph of f(x) is shown (see figure). f(x) = 7x √x²+6 (a) Find the following limits. L = lim f(x) = 7 K = lim f(x) = -7 (b) Determine ×1 X1 Not drawn to scale and X2 in terms of ε. ×2 (c) Determine M, where M > 0, such that |f(x) - L| < ε for x > M. M = × (d) Determine N, where N < 0, such that f(x) - K| < ε for x < N. N =

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter5: Polynomial And Rational Functions
Section5.6: Rational Functions
Problem 3SE: If the graph of a rational function has a removablediscontinuity, what must be true of the...
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The graph of f(x) is shown (see figure). f(x) = 7x √x² + 6 (a) Find the following limits. L= lim f(x) = X-∞ 7 K = lim f(x) = -7 <x 00 Not drawn to scale (b) Determine x₁ and X2 in terms of ε. × 1 = أنه = (c) Determine M, where M > 0, such that f(x) - L| < ɛ for x > M. M = -∞ (d) Determine N, where N < 0, such that f(x) - K| < ɛ for x < N. N = ∞
Transcribed Image Text:The graph of f(x) is shown (see figure). f(x) = 7x √x² + 6 (a) Find the following limits. L= lim f(x) = X-∞ 7 K = lim f(x) = -7 <x 00 Not drawn to scale (b) Determine x₁ and X2 in terms of ε. × 1 = أنه = (c) Determine M, where M > 0, such that f(x) - L| < ɛ for x > M. M = -∞ (d) Determine N, where N < 0, such that f(x) - K| < ɛ for x < N. N = ∞
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