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If : f(x) {:(=(sinx )/x+ cos x", ....

If : f(x) `{:(=(sinx )/x+ cos x", ..."x!=0),(=2", ... "x=0):}` then :

A

(a) f(x) is discontinous at x = 0

B

(b) `lim_(x to 0)f(x) = 1`

C

(c) f(x) is continous at x = 0

D

(d) none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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