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The value of f(0) so that the function f...

The value of f(0) so that the function `f(x) = (2x-sin^(-1)x)/(2x+tan^(-1)x)` is continuous at each point of its domain

A

(2/3)

B

2

C

(1/3)

D

(-1/3)

Text Solution

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The correct Answer is:
C
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
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  11. Which one of the following is not true always?

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  16. If the function f(x) = {((sin 3x)/x, x ne 0),(k/2, x = 0):} is continu...

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  17. If f(x) = (x^(2)-10x +25)/(x^(2)-7x+10 for x ne 5 and f is continuous ...

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  18. If f : R rarr R is defined by f(x) ={(a^(2)cos^(2)+b^(2)sin^(2)x, x le...

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  19. If f(x) ={((sqrt(1+kx)- sqrt(1-kx))/x, -1 le x le0),(2x^(2)+3x-2, 0 le...

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