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

Expert Answers
rcmath eNotes educator| Certified Educator

`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.