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Suppose lim(xrarr0) (int(0)^(x)(t^(2) d...

`Suppose lim_(xrarr0) (int_(0)^(x)(t^(2) dt)/((a+t^(r))^(1//p)))/(bx- sinx)=l`,
`p in N, p ge 2,a gt gt 0,rgt 0 and b ne 0`
If `l` exists and is non- zero, then

A

`b gt 1`

B

`0 lt b lt 1`

C

`b lt0`

D

`b=1`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • Suppose lim_(xrarr0)(int_(0)^(x)(t^(2) dt)/((a+t^(r))^(1//p)))/(bx- sinx)=l , p in N, p ge 2,a gt gt 0,rgt 0 and b ne 0 If p=3 and l=1, then the value of 'a' is equal to

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    `3//2`

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    `(3)/(2)`
    B
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  • lim_(xrarr0)(cos (sinx)-1)/(x^2)=

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