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If n is a non zero integer and [*] denot...

If n is a non zero integer and [*] denotes the greatest integer function then `lim_(x->0)[(nsinx/x] + lim_(x->)[ntanx/x]` equals

A

`n+1`

B

`2n`

C

`n-1`

D

`2n-1`

Text Solution

Verified by Experts

The correct Answer is:
D
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ARIHANT MATHS-LIMITS-Exercise (Single Option Correct Type Questions)
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  6. underset(xto(pi)/(2))(lim)([(x)/(2)])/(log(e)(sinx))([.] denotes great...

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  11. Let f(x)=(|x^(3)-6x^(2)+11x-6|)/(x^(3)-6x^(2)+11x-6) then the number...

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  13. The value of lim(ntooo)sum(r=1)^(n)cot^(-1)((r^(3)-r+1/r)/2) is

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  14. Let tan alpha . x + sin alpha · y = alpha and alpha. cosec alpha • x +...

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  16. If n is a non zero integer and [*] denotes the greatest integer functi...

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  18. The value of lim(xto0^(+))(-1+sqrt((tanx-sinx)+sqrt((tanx-sinx)+sqrt...

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