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Consider f(x) = {{:(2 sin (a cos^(-1) x)...

Consider `f(x) = {{:(2 sin (a cos^(-1) x)",","if",x in (0, 1)),(sqrt(3)",","if",x = 0),(ax + b",","if",x lt 0):}`
Statement I If b = `sqrt(3) and a = (2)/(3)`, then f(x) is continuous in `(-oo, 1)`.
Statement II If a function is defined on an interval I and limit exists at every point of interval I, then function is continuou in I.

A

Statement I is correct, Statement II is also correct, Statement II is the correct explanation of Statement I

B

Statement I is correct, Statement II is also correct, Statement II is not the correct explanation of Statement I

C

Statement I is correct, Statement II is incorrect

D

Statement I is incorrect, Statement II is correct.

Text Solution

Verified by Experts

The correct Answer is:
C
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