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Letf(x) = lim( n to oo) (x^(n)-sin x^(n...

`Letf(x) = lim_( n to oo) (x^(n)-sin x^(n))/(x^(n)+sin x^(n)) " for" xgt 0, x ne 1,and f(1)=0` Discuss the continuity at x=1.

A

f is continuous at x = 1

B

f has a finite discontinuity at x = 1

C

f has an infinite or oscillatory discontinuity at x = 1

D

f has a removal type of discontinuity at x = 1

Text Solution

Verified by Experts

The correct Answer is:
B
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