LimitsHard
Question
If f(x) = 
, then f(x) is
, then f(x) is Options
A.continuous as well differentiable at x = 0
B.continuous but not differentiable at x = 0
C.neither differentiable at x = 0 nor continuous at x = 0
D.none of these
Solution
f(x) = 
f′(0-) =
f′(0+) =
not differentiable
f(x) = 0 = 
f(x) = f(0) continuous
f′(0-) =
f′(0+) =
not differentiablef(x) = 0 = f(x) = f(0) continuousCreate a free account to view solution
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