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Let f(x) = (sqrt(1 + sin x)-sqrt(1-sin x...

Let `f(x) = (sqrt(1 + sin x)-sqrt(1-sin x))/(x)`lim The value, which should be assigned to f at x = 0 so that it is continuous everywhere, is :

A

1

B

2

C

`(1)/(2)`

D

-2

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

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

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

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

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

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

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

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  17. lim(x rarr (pi)/(2)) ((1 - tan x//2)(1-sin x))/((1+tan x//2) (pi - 2x)...

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  18. The value of lim(x rarr 0) (int(0)^(x^(2))sec^(2)t dt)/(x sin x) is :

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