Seguiamo il suggerimento
$ = \displaystyle\lim_{ x \to -\frac{\pi}{4}} (1+tan x) \frac{2tanx}{(1+tan x)(1-tan x)} = \displaystyle\lim_{ x \to -\frac{\pi}{4}} \frac{2tanx}{1-tan x} = \frac{-2}{1-(-1)} = -1 $
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