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f : R - {0} to R " given by " f(x) = (1)...

`f : R - {0} to R " given by " f(x) = (1)/(x) - (2)/(e^(2x)-1)`
can be made continuous at x = 0 by defining f(0) as

A

2

B

`-1`

C

0

D

1

Text Solution

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The correct Answer is:
D
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DIPTI PUBLICATION ( AP EAMET)-LIMITS AND CONTINUITY-Exercise 1C(Continuity)
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  5. If If {{:(,(72^(x)-9^(x)-8^(x)+1)/(sqrt2-sqrt(1+cosx)),x ne 0),(,k log...

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  6. If f : R to R is continuous such that f(x + y) = f(x) + f(y) x i...

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  13. If f(x)={{:((sqrt(1+kx)-sqrt1-kx)/(x),"for" -1 le x0),(2x^(2)+3x-2,"fo...

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  18. Let f: R to R is defined by f(x)= {{:(,alpha+(sin [x])/(x),if x gt 0),...

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  19. If R rarr R b e defined f(x)={{:(a^(2)cos^(2) x+b^(2) sin^(2)x,if xle0...

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  20. f : R - {0} to R " given by " f(x) = (1)/(x) - (2)/(e^(2x)-1) can b...

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