Question
Consider the function
().
xチ
x +0
cos
f(x)
0,
x = 0
a. Show that f is continuous at x = 0.
b. Determine f' for x # 0.
c. Show that f is differentiable at x = 0.
d. Show that f' is not continuous at x = 0.
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Transcribed Image Text

Consider the function (). xチ x +0 cos f(x) 0, x = 0 a. Show that f is continuous at x = 0. b. Determine f' for x # 0. c. Show that f is differentiable at x = 0. d. Show that f' is not continuous at x = 0.