1. The problem statement, all variables and given/known data Limit of x2cosh(1/x) as x approaches 0 2. Relevant equations 3. The attempt at a solution I did some algebra,made into the form infinity over infinity and used hopital's rule. I got limit x2e^(1/x). Then I again made into the form infinity over infinity(by making it 1/x2). 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!