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("lim")(xvecoo)((2x+1)^(40)(4x-1)^5)/((2...

`("lim")_(xvecoo)((2x+1)^(40)(4x-1)^5)/((2x+3)^(45))i se q u a lto` 16 (b) 24 (c) 32 (d) 8

A

`(1)/(2pi)`

B

`(-1)/(pi)`

C

`(-2)/(pi)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
`underset(xtooo)lim((2x+1)^(40)(4x-1)^(5))/((2x+3)^(45))=underset(xtooo)lim((2+(1)/(x))^(40)(4-(1)/(x))^(5))/((2+(3)/(x))^(45))`
(Dividing numerator and denominator by `x^(45)`)
`=(2^(40)4^(5))/(2^(45))=2^(5)=32`
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