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lim(x rarr 0) (tan 2x - x)/(3x - sin x),...

`lim_(x rarr 0) (tan 2x - x)/(3x - sin x)`, is :

A

2

B

(1/2)

C

(-1/2)

D

(1/4)

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Verified by Experts

The correct Answer is:
B
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HIMALAYA PUBLICATION-LIMITS, CONTINUITY AND DIFFERENTIABILITY-QUESTION BANK
  1. lim(x rarr 0) (|sin x|)/x is

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  2. Let f(x) = {{:(x^(2) - 1, 0 lt x lt 2),(2x + 3, 2 le x lt 3):}, the qu...

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  3. lim(x rarr 0) (tan 2x - x)/(3x - sin x), is :

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  4. The function f(x) {((sin x)/x + cos x, x ne 0), (k, x = 0):} is contin...

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  5. The function f(x)= [x], where [x] denotes greatest integer function is...

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  6. The number of points at which the function f(x) = (1)/(x - [x]) is :

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  7. Prove that the function defined by f(x)= tan x is a continuous functio...

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  8. Let f(x) = |sin x|. Then

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  9. The function f(x) = |x| + |x-1| is

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  10. The value of k which makes the function defined by : f(x) = {{:("sin...

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  11. If f(x) = 2x and g(x) = x^(2)/2 +1, then which of the following can be...

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  12. The function f(x) = (4-x^(2))/(4x-x^(2)) is

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  13. The function f(x) = cot x discontinuous on the set

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  14. If f(x) = x^(2) "sin" (1)/(x), where x ne 0, then the value of the fun...

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  15. If f(x) = {(mx+1 , xle pi/2),(sinx+n, x gt pi/2):} is continuous a...

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  16. lim(n rarr oo) (1^(2)+2^(2)+....+n^(2))/(2n^(3)+3n^(2)+4n+1 ) =

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  17. lim(x rarr 0) (1- cos x)/(x^(2)) is :

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  18. {:(" Lt"),(x rarr oo):} sqrt(x)(sqrt(x+a)-sqrt(x))=

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  19. lim(x rarr oo) (1+2/n)^(2n)=

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  20. lim(x rarr 0) (1+ax)^(b/x)=

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