evaluate

$\displaystyle \displaystyle \lim_{x\to \frac{-\pi}{4}} \dfrac{1+sin(2x)}{sin(x)+cos(x)}$

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- Dec 31st 2010, 01:45 AMMisswithout using L'Hospital's Rule
evaluate

$\displaystyle \displaystyle \lim_{x\to \frac{-\pi}{4}} \dfrac{1+sin(2x)}{sin(x)+cos(x)}$ - Dec 31st 2010, 01:48 AMGeneral
$\displaystyle (1+sin(2x))=(sin(x)+cos(x))^2$