Math miscellaneousHard
Question
If f(x) = 
Options
A.continuous as well as differentiable for all x
B.continuous for all x but not differentiable at x = 0
C.neither differentiable nor continuous at x = 0
D.discontinuous everywhere
Solution
f′(0)
f′(0 - h) = 1
f′(0 + h) = 0
LHD ≠ RHD
Hence, (B) is the correct answer.
f′(0 - h) = 1
f′(0 + h) = 0
LHD ≠ RHD
Hence, (B) is the correct answer.
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