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Let for all xgt0,f(x)=lim(nto oo)n(x^((1...

Let for all `xgt0,f(x)=lim_(nto oo)n(x^((1)/(n))-1)`, then

A

`f(xy)+f((1)/(x))=1`

B

`f(xy)=f(x)+f(y)`

C

`f(xy)=xf(y)+yf(x)`

D

`f(xy)=xf(x)+yf(y)`

Text Solution

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The correct Answer is:
B
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CHHAYA PUBLICATION-QUESTION PAPER 2017-UNIT-3
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  2. Evalute : lim(ntooo)[(n)/(n^2+1^2)+(n)/(n^2+2^2)+........+(1)/(2n)].

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  7. If f(x)=int(-1)^x |t|dt, then for any xge0,f(x) is equal to

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  8. Let for all xgt0,f(x)=lim(nto oo)n(x^((1)/(n))-1), then

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  9. Let I=int0^(100pi)sqrt(1-cos2x)dx, then

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  14. Find solution of ydx+xdy=xy(dy-dx)

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  16. Let f be a non-constant continuous function for all xge0. Let f satisf...

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  17. If the line ax+by+c=0,abne0, is a tangent to the curve xy=1-2x, then

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  19. If the tangents to y^2=4ax at the point (at^2,2at) where |t|>1 is a no...

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  20. int(x^2-1)/(x^4+3x^2+1)dx(x>0) is

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