Error in evaluation of $\displaystyle\lim_{x\to 0} \frac{x\cos x - \ln (1+x)}{x^2}$
99318
Analyzing limits problem Calculus (tell me where I'm wrong).
89251
Limit $\lim\limits_{x\to0}{\frac{\ln{(e+x)}-e^x}{\cos^2{x} -e^x}}$
130935
Evaluating $\int_{0}^{1}\frac{x-1}{(x+1)\ln x} dx $
114675
Evaluating $\lim\limits_{x\to 0}(1+x)^{1/x}$?
93408
Trying to show that $\ln(x) = \lim_{n\to\infty} n(x^{1/n} -1)$
122145
Evaluating Limit - $(1-(\cos x)^{\sin x})/(x^3)$
11912
Is it true that $\displaystyle \left( \lim_{n \to \infty} x_n \right)^\alpha = \lim_{n \to \infty} x_n^\alpha $
94466
evaluating the limit $ \lim_{(x,y) \rightarrow (0,0) } \frac{x^2y^2}{x^2 + y^2} $
79299
Strange behavior of $\lim_{x\to0}\frac{\sin\left(x\sin\left(\frac1x\right)\right)}{x\sin\left(\frac1x\right)}$
32572
What is $\lim_{(x,y)\to(0,0)} \frac{(x^3+y^3)}{(x^2-y^2)}$?
155539
Evaluating the limit $\lim_{x \to 0+}\left(\frac{1}{x}-\frac{1}{\arctan(x)}\right)$
127001
Evaluate $\lim_{x\to \infty} \cos (\sqrt {x+1})-\cos (\sqrt x)$
101687
$ \lim_{x\to o} \frac{(1+x)^{\frac1x}-e+\frac{ex}{2}}{ex^2} $
98838
How to evaluate $\int_0^1 \frac{\ln(x+1)}{x^2+1} dx$
26211
Computing $\lim_{x \to \infty} x \biggl[ \frac{1}{e} - \left( \frac{x}{x+1} \right)^x \biggr]$
106142
Why does L'Hopital's rule fail in calculating $\lim_{x \to \infty} \frac{x}{x+\sin(x)}$?
114862
Find the limit $\displaystyle \lim_{x \to 0^+} (\sin x)^\frac1{\ln x}$