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Do not use technology. Evaluate each limit analytically. (a) lim (b) (c) (d) h→0 lim h→0 lim h→0 sin(x + h) sin(x) h +h- h 49 + h - 7 h 1 lim 5 + h h→0 - f II II II ||

Do not use technology. Evaluate each limit analytically. (a) lim (b) (c) (d) h→0 lim h→0 lim h→0 sin(x + h) sin(x) h +h- h 49 + h - 7 h 1 lim 5 + h h→0 - f II II II ||

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The function f is defined as f(x) = (a) Find f'(x). f'(x) = 3e4x² (b) For what value of x is the slope of the tangent line to the graph of f equal to 2? (Round your answer to three decimal places.) X = (c) For what value(s) of x does the tangent line to the graph of f intersect the x-axis at the point (0) (Enter your answers as a comma-separated list.)
Transcribed Image Text:The function f is defined as f(x) = (a) Find f'(x). f'(x) = 3e4x² (b) For what value of x is the slope of the tangent line to the graph of f equal to 2? (Round your answer to three decimal places.) X = (c) For what value(s) of x does the tangent line to the graph of f intersect the x-axis at the point (0) (Enter your answers as a comma-separated list.)
Do not use technology. Evaluate each limit analytically. (a) lim h→0 (b) lim h→0 (c) (d) lim h→0 sin(x + h) — sin(x) h x+h- 49 + h - 7 1 lim 5 + h h→0 h been 1 D II II ||
Transcribed Image Text:Do not use technology. Evaluate each limit analytically. (a) lim h→0 (b) lim h→0 (c) (d) lim h→0 sin(x + h) — sin(x) h x+h- 49 + h - 7 1 lim 5 + h h→0 h been 1 D II II ||
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