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Consider f(x) = lim(n rarr oo) (x^(n)-si...

Consider `f(x) = lim_(n rarr oo) (x^(n)-sin x^(n))/(x^(n)+sin x^(n))"for x" gt 0, x ne 1, f(1) = 0` then

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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