Answer by Somos for Understanding Limit without l'Hopital
In the numerator, since both $\tan(x)$ and $\sin(x)$ are odd functions, the difference is also an odd function. The denominator $x^2$ is an even function. The quotient is an odd function. If the limit...
View ArticleAnswer by RRL for Understanding Limit without l'Hopital
Rearrange this as $\frac{\sin x}{x} \frac{1}{\cos x}\frac{1- \cos x}{x}$ and use the standard limit $\frac{1- \cos x}{x} \to 0$ as $x \to 0$.
View ArticleUnderstanding Limit without l'Hopital
I have been trying to understand this limit:$$\lim_{x \to 0}\frac{tan(x)-sin(x)}{x^2}$$When aplying the l'Hopital rule I arrive to the limit being $0$ but when doing things organically I get an...
View Article
More Pages to Explore .....
