Question
Prove that:
$\frac{1-\cos2\text{x}+\sin2\text{x}}{1+\cos2\text{x}+\sin2\text{x}}=\tan\text{x}$
$\frac{1-\cos2\text{x}+\sin2\text{x}}{1+\cos2\text{x}+\sin2\text{x}}=\tan\text{x}$
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Find the limit of the function, if it exists, at $x=1$
$
f(x)=\left\{\begin{array}{lll}
7-4 x & \text { for } & x<1 \\
x^2+2 & \text { for } & x \geq 1
\end{array}\right.
$