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If f(x)= {((x^(2))/(a)-a",",x lt a),(0",...

If `f(x)= {((x^(2))/(a)-a",",x lt a),(0",",x=a),(a-(x^(2))/(a)",",x gt 0):}` then, ………

A

`underset(x rarr a^(+))("lim") f(x)= a`

B

`underset(x rarr a)("lim") f(x)= -a`

C

f is continuous at x=a

D

f is differentiable at x=a

Text Solution

Verified by Experts

The correct Answer is:
C
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