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The value of underset(x rarr 0)lim (sin ...

The value of `underset(x rarr 0)lim (sin 5x)/(tan 3x)` is

A

2

B

5

C

`(5)/(3)`

D

`(3)/(5)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • underset(xrarr0)"lim"(sin3x)/(sinx) =

    A
    2
    B
    3
    C
    1
    D
    0

  • underset(xrarr 0)"lim"(sin^(-1)x)/(x) =

    A
    4
    B
    3
    C
    2
    D
    1

  • Let f RR rarr RR be differentiable at x = 0 . If f(0) = 0 and f'(0) = 2, then the value of underset(x rarr 0)lim (1)/(x)[f(x) + f(2x) + f(3x)+…+f(2015x)] is

    A
    2015
    B
    0 (zero)
    C
    `2015 xx 2016`
    D
    `2015 xx 2014`

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    Find the value of : underset(x to 0) lim (1+3x)^(1/x)

    Find the value of : underset(x to 0) lim (1+kx)^(k/x)

    If underset(x rarr 0)lim (2a sin x - sin 2x)/(tan^(3)x) exists and is equal to 1, then the value of a is -

    underset(xrarr0)"lim"(e^(3x)-1)/(x) =

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