Can someone please help me with this by doing L hospitals rule?

If the font is too small, it says (-m^2+n^2)/2

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Explanation:

If you plug x = 0 into the original expression, then you'll get the indeterminant form 0/0 after simplifying.

Recall that cos(0) = 1

So we use L'Hospitals rule to derive the numerator and denominator separately (don't use the quotient rule)

Plug x = 0 into this new expression. You should get 0/0 again here as well, which means you'll have to do another round of L'Hospital

Now plugging in x = 0 leads to something that isn't indeterminant

Evaluating the limit gets us

i dont know

step-by-step explanation: