Advertisements
PROBLEM:
Evaluate \displaystyle \lim\limits_{x\to 0}\left(\frac{1-\cos^2\left(x\right)}{1+\cos\left(x\right)}\right)
Advertisements
This problem can be solved using a direct substitution of x=0. That is
\begin{align*}
\lim\limits_{x\to 0}\left(\frac{1-\cos^2 x }{1+\cos x }\right) & =\frac{1-\cos^2\left(0\right)}{1+\cos\left(0\right)} \\
\\
& =\frac{1-1}{1+1}\\
\\
& = 0 \ \qquad \ \color{DarkOrange} \left( \text{Answer} \right)
\end{align*}
Advertisements
Advertisements