(a) For what real value of the constant k is the function differentiable. (k+ 1)²x if 0 < x < 3, (k+1)x² f(x) = if x ≥ 3, 2 lim (RFI) ²/ X-3 lim (x+|)x² X>3+ Time

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 63E
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(a) For what real value of the constant k is the function differentiable.
(k+ 1)²x
if 0 < x < 3,
lim (1)
X-3
(k+1)x²
f(x) =
if x ≥ 3,
2
lim (x+1)x²
X>3+
Time
Transcribed Image Text:(a) For what real value of the constant k is the function differentiable. (k+ 1)²x if 0 < x < 3, lim (1) X-3 (k+1)x² f(x) = if x ≥ 3, 2 lim (x+1)x² X>3+ Time
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