The value of `lim_(xto pi) (1+cos^(3)x)/(sin^(2)x)" is "`
The value of `lim_(xto pi) (1+cos^(3)x)/(sin^(2)x)" is "`
A. [2, 5)
B. (1, 5)
C. (-1, 5)
D. `(-oo, oo)`
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Correct Answer - D
We have `underset(xto pi)lim(1+cos^(3)x)/(sin^(2)x)=underset(xto pi)lim((1+cosx)(1-cosx+cos^(2)x))/((1-cosx)(1+cosx))`
`=underset(xto pi)lim(1-cosx+cos^(2)x)/(1-cosx)=(1+1+1)/(1+1)=3/2`
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