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Magazine Problem 387
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow \infty} x^{2} e^{-x}\)
Problem 388
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 0} \frac{3^{x}-2^{x}}{x} $$
Problem 388
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow 0} \frac{3^{x}-2^{x}}{x}\)
Problem 389
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 0} \frac{1+1 / x}{1-1 / x} $$
Problem 389
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow 0} \frac{1+1 / x}{1-1 / x}\)
Problem 390
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow \pi / 4}(1-\tan x) \cot x $$
Problem 390
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow \pi / 4}(1-\tan x) \cot x\)
Problem 391
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow \infty} x e^{1 / x}\)
Problem 391
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow \infty} x e^{1 / x} $$
Problem 392
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 0} x^{1 / \cos x} $$
