LimitsHard
Question
If f(x) = 
be a real valued function, then
be a real valued function, then Options
A.f(x) is continuous, but f′(0) does not exist
B.f(x) is differentiable at x = 0
C.f(x) is not continuous at x = 0
D.f(x) is not differentiable at x = 0
Solution
f(x) = 
f(0) = 0 Domain x ≥ 0
∵
f(x) = 0 ∴ f(x) is continous
∵ RHD (x = 0) =
∴ f(x) is differntiable at x = 0
f(0) = 0 Domain x ≥ 0∵
f(x) = 0 ∴ f(x) is continous ∵ RHD (x = 0) =
∴ f(x) is differntiable at x = 0
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