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For `a in R` ( the set of all real number) , `a ne -1`,
`lim_(n to oo)((1^(a)+2^(a)+....+n^(a)))/((n+1)^(a-1)[(na+1)+(na+2)+...+(na+n)])=(1)/(60)` Then, a is equal to

A

5

B

7

C

`(-15)/(2)`

D

`(-17)/(2)`

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The correct Answer is:
B, D
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ARIHANT MATHS-DEFINITE INTEGRAL-Exercise (Questions Asked In Previous 13 Years Exam)
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  5. Which of the following is true?

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  7. Let f be a non-negative function defined on the interval .[0,1].If int...

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  9. Let Sn=sum(k=0)^n n/(n^2+k n+k^2) and Tn=sum(k=0)^(n-1)n/(n^2+k n+k...

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  11. Let In=int tan^n x dx, (n>1). If I4+I6=a tan^5 x + bx^5 + C, Where C...

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  12. lim(n rarr infty ) [((n+1)(n+2)...3n)/(n^(2n))]^(1//n) is equal to

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  13. The integral int2^4(logx^2)/(logx^2+log(36-12 x+x^2)dx is equal to:...

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  14. The integral int(0)^(pi) sqrt(1+4 sin )(x)/(2) -4 "sin" (x)/(2) dx is...

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  15. Statement I The value of the integral int(pi//6)^(pi//3) (dx)/(1+sqrt...

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  16. The intercepts on x-axis made by tangents to the curve, y=int0^x|t|...

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  17. Ifg(x)= int(0)^(x) cos ^(4)t dt, "then " g (x+pi) equals

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  18. The value of int(0)^(1) (8 log(1+x))/(1+x^(2)) dx is

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  19. For x epsilon(0,(5pi)/2), definite f(x)=int(0)^(x)sqrt(t) sin t dt. T...

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  20. Let p(x) be a function defined on R such that lim(xrarr infty) f (3x...

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