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Let f(x) = (1-sin x)/((pi - 2x)^(2)),"wh...

Let `f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) = k`. The value of k which makes f continuous at `pi//2` is :

A

`1//8`

B

`1//4`

C

`1//2`

D

None of these

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The correct Answer is:
A
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MODERN PUBLICATION-LIMIT AND CONTINUITY -MULTIPLE CHOICE QUESTIONS(LEVEL - II )
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  2. Let f(x) = (1 - cos px)/(x sin x), where x ne 0 and f(0) = (1)/(2). If...

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  3. Let f(x) = (1-sin x)/((pi - 2x)^(2)),"where x" ne pi//2 and f(pi//2) =...

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  4. Let f(x) = (tan (pi//4-x))/(cot 2x)"for x" ne pi//4, then for f to be ...

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  6. The value of f(0) so that the function : f(x) = (sqrt(1 + x) - (1+x)^(...

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  7. Let f(x) = (sqrt(1 + sin x)-sqrt(1-sin x))/(x)lim The value, which sho...

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  8. To make f(x)=(x+1)^(cotx) continuous at x=0,f(0) must defined as

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  9. If f(x) = (1)/(2) x - 1, then on the interval [0, pi] :

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  10. The value of x, where the function : f(x) = (tan x log (x-2))/(x^(2) -...

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  11. Let f(x) = (tan ((pi)/(4) - x))/(cot 2 x), x ne pi//4, the value which...

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  12. Let f(x) = x + 2, where x le 1 and f(x) = 4x - 1, when x gt 1, then :

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  13. Let the function f be defined by f(x) = "x sin" (1)/(x), when x ne 0 =...

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  14. f(x) = (|x-a|)/(x-a), when x ne a, = 1, when x = a, then :

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  15. The value of f(0) for which the function : (log(e) (1-ax) - log(3) (1-...

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  16. If f(x) = ((e^(x)-1)^(4))/(sin((x^(2))/(lambda^(2)))log(1+(x^(2))/(2))...

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  17. If f(x) = [x] + [-x], x ne 2 = lambda, x = 2, then f is continuous at ...

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  18. Let f(x) be defined by f(x) = {{:((|x^(2) - x|)/(x^(2) - x),x ne 0"," ...

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  19. lim(x rarr oo) ((x^(2) + 5x + 3)/(x^(2) + x + 2))^(x) is :

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  20. lim(x rarr 0) (log (3 + x) - log(3 - x))/(x) = k, the value of k is :

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