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If f(x) is continuous at x=-2, where f(...

If `f(x)` is continuous at `x=-2`, where `f(x)=(2)/(x+2)+(1)/(x^(2)-2x+4)-(24)/(x^(3)+8)`, for `x!= -2`, then `f(-2)=`

A

`(-1)/(4)`

B

`1/4`

C

`(11)/(12)`

D

`(-11)/(12)`

Text Solution

Verified by Experts

The correct Answer is:
D
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NIKITA PUBLICATION-CONTINUITY-MULTIPLE CHOICE QUESTIONS
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  3. If f(x) is continuous at x=-2, where f(x)=(2)/(x+2)+(1)/(x^(2)-2x+4)-...

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  4. If f(x) is continuous at x=1, where f(x)=(x^(n)-1)/(x-1), for x != 1...

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  5. If f(x) is continuous at x=1, where f(x)=((x+3x^(2)+5x^(3)+...+(2n-1)...

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  12. If f(x) is continuous at x=2a, where f(x)=(sqrt(x)-sqrt(2a)+sqrt(x-2a)...

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  13. If f(x) is continuous at x=sqrt(2), where f(x)=(sqrt(3+2x)-(sqrt(2)+1)...

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  16. If f(x) is continuous at x=pi/2, where f(x)=(sqrt(2)-sqrt(1+sin x))/(...

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  17. If f(x) is continuous at x=pi/4, where f(x)=(1-tanx)/(1-sqrt(2)sin x),...

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  18. If f(x) is continuous at x=0, where f(x)=(sin (pi cos^(2)x))/(x^(2)), ...

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  19. If f(x) is continuous at x=(pi)/(4) where f(x)=(2sqrt(2)-(cos x+sin x)...

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  20. If f(x) is continuous at theta= pi/4, where f(theta)={:{((1-tan theta...

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