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MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

f(x) =

$\frac{x \cdot \ln(\cos x)}{\ln(1+x^2)}$	$x \neq 0$
$0$	$x = 0$

, then (1)

f

is continuous at

x = 0

(2)

f

is continuous at

x = 0

but not differentiable at

x = 0

(3)

f

is differentiable at

x = 0

(4)

f

is not continuous at

x = 0