If we directly evaluate the limit $\lim_{x\to 0}\left(\frac{\ln\left(1+x^2\right)}{\cos\left(x\right)-e^x}\right)$ as $x$ tends to $0$, we can see that it gives us an indeterminate form
$\frac{0}{0}$
2
We can solve this limit by applying L'H么pital's rule, which consists of calculating the derivative of both the numerator and the denominator separately
Evaluate the limit $\lim_{x\to0}\left(\frac{2x}{\left(1+x^2\right)\left(-\sin\left(x\right)-e^x\right)}\right)$ by replacing all occurrences of $x$ by $0$
Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more