Why the limit does not exist? limx-->0 cot x sec x  

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rcmath | High School Teacher | (Level 1) Associate Educator

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`lim_(x->0)cotxsecx=lim_(x->0)cosx/sinx*1/cosx=`

`lim_(x->0)1/sinx=>`

`lim_(x->0^+)sinx=+oo`

`lim_(x->0^-)sinx=-oo`

 

The graph confirms our finding.

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