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Magazine Problem 377
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow 0} \frac{e^{x}-x-1}{x^{2}}\)
Problem 377
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 0} \frac{e^{x}-x-1}{x^{2}} $$
Problem 378
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 0} \frac{\tan x}{\sqrt{x}} $$
Problem 379
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 1} \frac{x-1}{\ln x} $$
Problem 379
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow 1} \frac{x-1}{\ln x}\)
Problem 380
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 0}(x+1)^{1 / x} $$
Problem 380
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow 0}(x+1)^{1 / x}\)
Problem 381
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 1} \frac{\sqrt{x}-\sqrt[3]{x}}{x-1} $$
Problem 381
Evaluate the limits with either L'H么pital's rule or previously learned methods. \(\lim _{x \rightarrow 1} \frac{\sqrt{x}-\sqrt[3]{x}}{x-1}\)
Problem 382
For the following exercises, evaluate the limits with either L'H么pital's rule or previously learned methods. $$ \lim _{x \rightarrow 0^{+}} x^{2 x} $$
