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Value of f(-2) so that f(x)= (x^(3)+8)/...

Value of `f(-2)` so that f(x)= ` (x^(3)+8)/(x+2)` is continuous at x `= -2 ` is

A

`-12`

B

2

C

8

D

12

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The correct Answer is:
D
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MARVEL PUBLICATION-CONTINUITY F FUNCTIONS-MULTIPLE CHOICE QUESTIONS
  1. At x = 0 f(x) {:(=cscx,"if "x!=0),(=1,"if " x=0):} is

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  2. Value of f(0) so that f(x)=(sqrt(2+x)-sqrt2)/x is continuous at x=0 is

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  3. Value of f(-2) so that f(x)= (x^(3)+8)/(x+2) is continuous at x = -2 ...

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  4. Value of f(-2), if f(x) = (x^(3)+8)/(x^(5)+32) is continuous at x = -...

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  5. At x=3, f(x) ={(x^(5)-243",", "if " x ne 3),(x^(3)-27",", "if " x=3):}...

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  6. f(x)=(x sin 6x)/(tan 5x tan 7x) " for " x!=0, is continuous at x = 0 ...

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  7. The value of f(0), if f(x)=(x tan 2x)/(sin3x sin5x) is continuous at ...

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  8. If the function f(x) {: (3 sin x - sin 3x)/(x^(3)), x != 0 , is co...

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  9. If f(x) = (x-sin x)/x for x!= 0 , and f(x) = k , for x = 0 is continu...

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  10. Value of f(0) so that f(x) = (cos 2x-1)/(sqrt(x^(2)+1)-1) is continuo...

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  11. Find the value of k, if the functions are continuous at the points giv...

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  12. Value of f(0) so that f(x) = [ ((1+x)^(5))/((1+2x))]^(1//x) is conti...

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  13. Value of f(0) so that f(x) = (log(1+bx)-log(1-ax))/x is continuous at...

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  14. Value of f(0) so that f(x) = (a^(x)-1)/(1-b^(x)) is continuous at x ...

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  15. If f(x) = (a^(mx)-1)/(sinmx) is continuous at x = 0 , then m is

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  16. If f(x) = ((e^(mx)-1)sin mx)/(4x^(2)), x !=0 and f(0) = 9 ,is contin...

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  17. If f(x){:(=4(3^(x))", "," if "x lt0),(=x+2k+2," if " x ge 0):} is con...

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  18. Value of f(2) so that f(x) = (3^(x+2)-81)/(9^(x)-9^(2)) is continuous ...

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  19. f(x) {:(=(x cosx+3tanx)/(x^(2)+sinx), " if "x!=0),(=4," if " x=0):}} ...

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  20. f(x)= {:(tan(x^(2)-x)/x," if "x !=0),(=2 ," if " x=0):} at x=0, is

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