Evaluate ${\lim }_{x\to 4}\frac{x^2-9x+20}{x^2-6x+8}$ using L'Hôpital's Rule.

Does L'Hôpital's Rule apply to ${\lim }_{x\to -8}\frac{x-8}{x+8}$?

Evaluate ${\lim }_{x\to 0}\frac{e^{7x}-1}{5x}$ using L'Hôpital's Rule, with $x$ in radians.

Evaluate ${\lim }_{x\to \infty }\frac{-7x^2+6x}{3x^2+6}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to \infty }\frac{-6x^2+4x}{7x^2+4}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to 0}\frac{e^{8x}-1}{3x}$ using L'Hôpital's Rule, with $x$ in radians.

Evaluate ${\lim }_{x\to 0}\frac{\tan \left(2x\right)}{4x}$ using L'Hôpital's Rule, with $x$ in radians.

Evaluate ${\lim }_{x\to 7}\frac{x^2-4x-21}{x^2-2x-35}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to \infty }\frac{x^2+7x}{-9x^2+7}$ using L'Hôpital's Rule.

Does L'Hôpital's Rule apply to ${\lim }_{x\to -5}\frac{x^2+x-20}{x+5}$?

Evaluate ${\lim }_{x\to 0}\frac{e^{6x}-1}{8x}$ using L'Hôpital's Rule, with $x$ in radians.

Evaluate ${\lim }_{x\to 0}\frac{1-\cos \left(4x\right)}{7x^2}$, with $x$ in radians.

Evaluate ${\lim }_{x\to -7}\frac{x^2+15x+56}{x^2-x-56}$ using L'Hôpital's Rule.

A student applies L'Hôpital's Rule to ${\lim }_{x\to -3}\frac{x+5}{x}$ and reports $1$. What is wrong?

Evaluate ${\lim }_{x\to 0}\frac{1-\cos \left(2x\right)}{9x}$ using L'Hôpital's Rule, with $x$ in radians.

Does L'Hôpital's Rule apply to ${\lim }_{x\to 7}\frac{x+4}{x-7}$?

Evaluate ${\lim }_{x\to \infty }\frac{3x^2+6x}{7x^2+6}$ using L'Hôpital's Rule.

Does L'Hôpital's Rule apply to ${\lim }_{x\to 5}\frac{x-2}{x-5}$?

Evaluate ${\lim }_{x\to \infty }\frac{-7x^2-4x}{2x^2-4}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to -6}\frac{x^2+11x+30}{x^2+5x-6}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to \infty }{x}^5{e}^{-x}$, rewriting it as a quotient first.

Does L'Hôpital's Rule apply to ${\lim }_{x\to -4}\frac{x^2+2x-8}{x+4}$?

Evaluate ${\lim }_{x\to 0}\frac{1-\cos \left(6x\right)}{2x^2}$, with $x$ in radians.

Evaluate ${\lim }_{x\to -8}\frac{x^2+5x-24}{x^2+2x-48}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to 0}\frac{\sin \left(6x\right)}{2x}$ using L'Hôpital's Rule, with $x$ in radians.

Evaluate ${\lim }_{x\to 0}\frac{\tan \left(7x\right)}{6x}$ using L'Hôpital's Rule, with $x$ in radians.

Evaluate ${\lim }_{x\to 0}\frac{1-\cos \left(7x\right)}{4x^2}$, with $x$ in radians.

Evaluate ${\lim }_{x\to 7}\frac{x^2-4x-21}{x^2-9x+14}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to \infty }{x}^4{e}^{-x}$, rewriting it as a quotient first.

Evaluate ${\lim }_{x\to 0}\frac{\tan \left(9x\right)}{5x}$ using L'Hôpital's Rule, with $x$ in radians.

Evaluate ${\lim }_{x\to 8}\frac{x^2-3x-40}{x^2-14x+48}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to \infty }\frac{2x^2+7x}{-7x^2+7}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to -4}\frac{x^2-3x-28}{x^2-16}$ using L'Hôpital's Rule.

Does L'Hôpital's Rule apply to ${\lim }_{x\to -7}\frac{x^2+9x+14}{x+7}$?

Evaluate ${\lim }_{x\to \infty }{x}^9{e}^{-x}$, rewriting it as a quotient first.

A student applies L'Hôpital's Rule to ${\lim }_{x\to -6}\frac{x+8}{x}$ and reports $1$. What is wrong?

Evaluate ${\lim }_{x\to \infty }{x}^3{e}^{-x}$, rewriting it as a quotient first.

Evaluate ${\lim }_{x\to \infty }\frac{4x^2+x}{7x^2+1}$ using L'Hôpital's Rule.

Evaluate ${\lim }_{x\to 6}\frac{x^2-7x+6}{x^2+2x-48}$ using L'Hôpital's Rule.

A student applies L'Hôpital's Rule to ${\lim }_{x\to -7}\frac{x-5}{x}$ and reports $1$. What is wrong?