Limit of as x approaches 0 ((Sinx)^-1)/x ?

1 Answer
James
May 5, 2018

The answer
#lim_(xrarr0^+)1/sin x* 1/x=+oo#

#lim_(xrarr0^-)1/sin x* 1/x=-oo#

Explanation:

If you mean

#lim_(xrarr0)1/sin x* 1/x=1/0# Direct compensation product equal #(c!=0)/0#

In these case we will discuss when limit rarr to right side and left side

#lim_(xrarr0^+)1/sin x* 1/x=+oo#

#lim_(xrarr0^-)1/sin x* 1/x=-oo#

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