- #1
skyturnred
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Homework Statement
lim x→0 [itex]\frac{arctan(x^{2})}{(sinx+tanx)^{2}}[/itex]
Homework Equations
The Attempt at a Solution
OK, so at first, the form is [itex]\frac{0}{0}[/itex] so I use L'Hopital's rule. I get the following as my answer.
lim x→0 [itex]\frac{1}{1+x^{4}}[/itex]*[itex]\frac{1}{2(sinx+tanx)(cosx+sec^{2}x}[/itex]
But the form is not 0/0 and I cannot figure out what to do at this point. I have tried expanding out the (sinx+tanx) with the (cosx+sec^2x) to no avail.. and I can't really think of what else to do.
Thanks in advance!