Lim x-> (cos(sqrt x))^(1/x)? plz do not use hopitals rule?

• Lim x-> (cos(sqrt x))^(1/x)? plz do not use hopitals rule?

... (cos(sqrt x))^(1/x)? plz do not use hopitals rule? ... without using L'Hospital's rule ... displaystyle\lim_{x\to 0}\frac{\sin(\frac{1}{x})} ... x ...
Positive: 55 %
... so we are entitled to use L'Hospital's rule: $$\lim_{x ... over 1/x}$$ and then apply L'Hospital's rule to ... sqrt{x^2+1}. Solution: This is not a ...
Positive: 52 %

More resources

10/27/10 L’HOPITAL’S RULE ... x = lim x!1 cos 1 x 1 x2 1 1+ 1 ... to other indeterminate forms which are not 0 0. For example, lim x!0+ ln(x) 1 x = lim ...
Positive: 55 %
L'hopital's rule allows us to replace a limit problem with another that may be simpler to solve. Theorem: If lim f(x) = 0 and lim g(x) = 0 and if lim [ f ...
Positive: 50 %
sin x Example: lim x→0 x2 ... sin x cos x lim = lim (l’Hop) ... Also, don’t use l’Hospital’s rule as a crutch.