The graph of f(x) is shown (see figure). 6x f(x): = x² + 1 (a) Find the following limits. L = lim f(x) = 6 x → ∞0 K= lim f(x) = X→-00 (b) Determine X₁ and X₁ x₂ || -6 || x2 X X Not drawn to scale in terms of ε. (c) Determine M, where M > 0, such that If(x) — L| < ε for x > M. M (d) Determine N, where N < 0, such that If(x) - K| < ε for x < N. N = ||
The graph of f(x) is shown (see figure). 6x f(x): = x² + 1 (a) Find the following limits. L = lim f(x) = 6 x → ∞0 K= lim f(x) = X→-00 (b) Determine X₁ and X₁ x₂ || -6 || x2 X X Not drawn to scale in terms of ε. (c) Determine M, where M > 0, such that If(x) — L| < ε for x > M. M (d) Determine N, where N < 0, such that If(x) - K| < ε for x < N. N = ||
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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