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The following limit represents the derivative of a function $f$ at a point $a$. Evaluate the limit.

$$\lim\limits_{h \to 0 } \frac{\sin^2\left(\frac\pi 4+h \right)-\frac 1 2} h$$

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    L'Hospital? ${}$2012-10-23
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    Looks like he is supposed to use the limit definition of a derivative. I would conjecture that L'Hospital is a bit too advanced if he's intended to use the limit definition.2012-10-23

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