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We can take the derivatives of the numerator and the denominator and then take the limit and it will be the same as the limit of the original ratio. Indeterminate form includes limits of the forms $\frac{0}{0}$, $\frac{∞}{∞}$, $0\cdot∞$, $∞-∞$, $0^0$, $1^∞$ and $∞^0$. Example 1. $\lim\limits_{x \to 0} \frac{\sin x}{x}$ In this example, we see that taking the limit of the numerator and denominator results in $\frac{0}{0}$, which is an indeterminate form.