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Dec
29
comment What is the value of $\frac{\sin x}x$ at $x=0$?
I would not say that $f$ is not continuous at $x=0$. Continuity is only defined for points of the domain.
Dec
28
revised Prove that $|f|\leq 1$ whenever $|x|\leq 1$.
added 3 characters in body
Dec
28
answered Prove that $|f|\leq 1$ whenever $|x|\leq 1$.
Dec
20
comment Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital
Do you know that $\sin(t) / t \to 1$ as $t\to 0$?
Dec
20
revised Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital
added 174 characters in body
Dec
20
answered Evaluate $\lim\limits_{x\to\infty}x(\frac{\pi}{2}-\arctan(x))$ without using L'Hôpital
Dec
20
comment Wind vector transformation from Gaussian grid to displaced pole grid
Could you provide the formula used to transform points?
Dec
19
answered I would like to calculate the following limit: $\lim_ {n \to \infty} {\left( {n\cdot \sin{\frac{1}{n}}} \right)^{n^2}}$
Dec
19
revised I would like to calculate the following limit: $\lim_ {n \to \infty} {\left( {n\cdot \sin{\frac{1}{n}}} \right)^{n^2}}$
deleted 62 characters in body
Dec
16
revised How to show a piecewise function is continuous on a subinterval
added 13 characters in body
Dec
15
comment Maximum Probability to hit the bear.
It's not clear from the problem statement if the hunter knows when the bullets hits the bear.
Dec
15
revised Let $x^2+kx=0;k$ is a real number .The set of values of $k$ for which the equation $f(x)=0$ and $f(f(x))=0$ have same real solution set.
added 26 characters in body
Dec
8
revised Product rule in limit
added 3 characters in body
Dec
7
answered If $f''+f'=f$ then $f\equiv 0$
Dec
6
comment Differentiating $e^x$ from first principles using limits.
You should specify which is the definition of $e^x$. The answer can vary.
Dec
5
revised How many ways can this be done?
added 178 characters in body
Dec
5
answered How many ways can this be done?
Dec
4
comment Are $A^c$ and $B^c$ homeomorphic?
More interesting: if $A$ and $B$ are compact, connected and homeomorphic. Are the complementary sets homeomorphic?
Dec
4
revised Uniform convergence (similar to Dini's theorem, but different)
edited body
Dec
4
answered Uniform convergence (similar to Dini's theorem, but different)