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lim(h rarr 0) (tan (a + 2h) - 2 tan (a +...

`lim_(h rarr 0) (tan (a + 2h) - 2 tan (a + h) + tan a)/(h^(2))` is :

A

`2 tan a sec^(2) a`

B

`2 sec^(2) a`

C

`2 tan a`

D

does not exist

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Verified by Experts

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) = x (-1)^([1//x]), x ne 0, where [x] denotes the greatest int...

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  3. lim(h rarr 0) (tan (a + 2h) - 2 tan (a + h) + tan a)/(h^(2)) is :

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  11. If f(x) = (2)/(x-3), g(x) = (x-3)/(x+4) and h (x) = (-2(2x + 1))/(x^(2...

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  13. The value of lim(x rarr oo) {(x^(2)sin ((1)/(x))-x)/(1-|x|)} is :

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  14. lim(x rarr 0) [int(y)^(a) e^(sin^(2)t) dt - int(x + y)^(a) e^(sin^(2)t...

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

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  17. lim(x rarr oo) (int(0)^(2x) xe^(2)dx)/(e^(4x^(2))) equals :

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  18. lim(x rarr 2) (sqrt(x-2) + sqrt(x) - sqrt(2))/(sqrt(x^(2) - 4)) is equ...

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  19. lim(x rarr 0) (x sqrt(y^(2) - (y - x)^(2)))/((sqrt(8xy - 4x^(2)) + sqr...

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  20. If S(n) = (1)/(1.4)+(1)/(4.7) + (1)/(7.10) +……. to n terms, then lim(n...

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