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Evaluate the following limit: lim(x->(3p...

Evaluate the following limit: `lim_(x->(3pi)/2)(1+cos e c^3x)/(cot^2x)`

Text Solution

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`lim_(x->(3pi)/2)(1+cosec^3x)/(cot^2x)`
This is a `(0/0)` form
So, apply L-Hospital Rule
`lim_(x->(3pi)/2)(d/(dx)(1+cosec^3x))/(d/(dx)(cot^2x))`
`=-3/2`
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