Final Answer
indeterminate
Step-by-step Solution
Problem to solve:
$\lim_{x\to0}\left(\frac{1-\cos\left(x\right)}{x^2}\right)$
Specify the solving method
We could not solve this problem by using the method: Limits by factoring
1
Evaluate the limit $\lim_{x\to0}\left(\frac{1-\cos\left(x\right)}{x^2}\right)$ by replacing all occurrences of $x$ by $0$
$\frac{1-\cos\left(0\right)}{0^2}$
2
Calculate the power $0^2$
$\frac{1-\cos\left(0\right)}{0}$
3
The cosine of $0$ equals $1$
$\frac{1-1}{0}$
4
Subtract the values $1$ and $-1$
$\frac{0}{0}$
5
$\frac{0}{0}$ represents an indeterminate form
indeterminate
Final Answer
indeterminate