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## Homework Statement

Limit of x

^{2}cosh(1/x) as x approaches 0

## Homework Equations

## The Attempt at a Solution

I did some algebra,made into the form infinity over infinity and used hopital's rule. I got limit x

^{2}e^(1/x).

Then I again made into the form infinity over infinity(by making it 1/x

^{2}).

Then used hopital's rule again and ended up getting limit of e^(1/x) as x approaches 0.

Can I assume that it is infinity? But when I draw the graph of e^(1/x),using my graphic calculator, it shows the right and left limits are different and therefore the limit does not exist.

Sorry for not showing my steps as I cannot find the limit and other symbols on latex.Thank you for reading!