a . Explanation Given: lim h → 0 tan ( 5 π 6 + h ) + 1 3 h Definition: The function f is differentiable at x , then f ′ ( x ) = lim h → 0 f ( x + h ) − f ( x ) h . Calculation: Compare lim h → 0 tan ( 5 π 6 + h ) + 1 3 h and lim h → 0 f ( x + h ) − f ( x ) h , Let f ( x ) = tan x and a = 5 π 6 b . To determine To evaluate: The value of lim h → 0 tan ( 5 π 6 + h ) + 1 3 h .

Calculus: Early Transcendentals (2nd Edition)

2nd Edition

ISBN: 9780321947345

Author: William L. Briggs, Lyle Cochran, Bernard Gillett

Publisher: PEARSON

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Chapter 3.5, Problem 84E

To determine

To find: The possible function f and number a.

To determine

To evaluate: The value of limh→0tan(5π6+h)+13h .

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Chapter 3.5, Problem 83E

Chapter 3.5, Problem 85E

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Calculus: Early Transcendentals (2nd Edition)

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The possible function f and number a .

Solution Summary: The author explains that the possible function f and number a are differentiable at x.