Find the values of a and b such that the following function f(x) = 2a cos(x + 1) - b.5x+2, if x < −1, 2, if x = -1, ax² + 4bx - 2, is continuous at x = -1. Justify your answer by the definition of the continuity. if x>-1,

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 12E
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Find the values of a and b such that the following function
2a cos(x + 1) - b.5x+2, if x < −1,
f(x) = 2,
if x = -1,
ax² + 4bx - 2,
if x>-1,
is continuous at x = -1. Justify your answer by the definition of the continuity.
Transcribed Image Text:Find the values of a and b such that the following function 2a cos(x + 1) - b.5x+2, if x < −1, f(x) = 2, if x = -1, ax² + 4bx - 2, if x>-1, is continuous at x = -1. Justify your answer by the definition of the continuity.
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