lim x->0 (x^2 sin(x))/(sin(x) - x)
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Eduard S.
Use an algebraic manipulation to put the limit in a form which can be treated using l'Hôpital's Rule; then evaluate the limit. $\lim _{x \rightarrow 0}\left(e^{x}-e^{-x}\right) \cdot x^{-1}$
Applications of the Derivative
l’Hopital’s Rule
Use an algebraic manipulation to put the limit in a form which can be treated using l'Hôpital's Rule; then evaluate the limit. $\lim _{x \rightarrow+\infty} x^{-2} \ln (x)$
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