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\[ \lim_{h \rightarrow 0} \frac{ 2\tan(\frac{ \pi }{ 4}+h )-2\tan(\frac{ \pi }{ 4} )} { h }\]
There is a trig formula for tan (a + b). Please find that formula, and then apply it to the first tangent term in your numerator.
Example: sin(30+45) = sin 30 cos 45 + cos 30 sin 45.
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