Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve using direct substitution
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Evaluate the limit $\lim_{x\to0}\left(\frac{1-2\cos\left(x\right)+\cos\left(x\right)^2}{1-\cos\left(x\right)}\right)$ by replacing all occurrences of $x$ by $0$
The cosine of $0$ equals $1$
Subtract the values $1$ and $-1$
The cosine of $0$ equals $1$
Subtract the values $1$ and $-2$
The cosine of $0$ equals $1$
Calculate the power $1^2$
Subtract the values $1$ and $-1$
$\frac{0}{0}$ represents an indeterminate form