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azif00
  • Member for 3 years
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15 votes

How do I take a fraction to a negative power?

9 votes

Prove that $T$ is invertible if and only if $0$ is not an eigenvalue of $T$

8 votes
Accepted

Limit of $(\sin nx) / mx$ as $x$ approaches $0$

6 votes
Accepted

Don't the derivatives of $\arctan x$ and $\operatorname{arccot} x$ imply they're negatives of each other?

6 votes
Accepted

If $f:X\rightarrow X$ is such that there exists $n\in \mathbb{N}$ for which $f^{n}$ is contracting, show that $f$ admits a unique fixed point.

5 votes

Applying the Fundamental Theorem of Calculus to a specific example

5 votes
Accepted

Find the derivative of a multivariable Integral

5 votes
Accepted

Calculating $G'(x)$ given $G(x) = \int_{-4}^{x^2} \frac{\sin t}{t} dt$

5 votes

Show that $e^{-x^2}$ Vanishes at Infinity

5 votes

The Injectivity of Linear Mappings

5 votes

Value of $\lim\limits_{x\to-\infty}{(4x^2-x)^{1/2} +2x}$

5 votes
Accepted

Given the composition of two permutations $\beta \gamma$ and $\gamma \beta$ find $\beta$ and $\gamma$

5 votes
Accepted

Composition Proof

5 votes

Proving if a polynomial is the zero function, then all coefficients are 0

5 votes
Accepted

How to prove that $(S^{0})^{0} = \operatorname{span}(\psi(S))$, where $\psi: V \to V^{**}$ is the natural isomorphism

5 votes

If $|A|=pq$ and $A\lhd B$ is a Nontrivial Normal Subgroup, the Quotient Group $A/B$ is Cyclic

5 votes

If $\epsilon$ is arbitrary, why is $\epsilon$ zero here?

5 votes

Prove that $(\mathcal P(X), \Delta, \cap)$ is isomorphic to $(F, +, \cdot)$

4 votes
Accepted

Solving $\int\frac{\cos^3(2x)}{\sin^2(2x)-1}dx$

4 votes
Accepted

Why does subtracting 1 from $-x$ in $y= \sqrt{-x}$, getting $y = \sqrt {-x -1 }$, result in a LEFT horizontal shift?

4 votes

$|2z^2 + 3iz + 1| < 6, \quad |z| = 1$

4 votes

If $|x-x_0|<\frac {\varepsilon}{2}$ and $|y-y_0|<\frac {\varepsilon}{2}$ then $|(x+y)-(x_0+y_0)|<\varepsilon$ and $|(x-y)-(x_0-y_0)|<\varepsilon$

4 votes

How do you prove that if $\lim\limits_{n \to \infty}a_n=1$, then $\lim\limits_{n \to \infty}\frac{1}{1+a_n}=\frac{1}{2}$?

4 votes
Accepted

How to prove $\int_0^1\sin(x+\frac{1}{x}) \, dx$ is convergent?

4 votes
Accepted

How do I find x as a function of x?

4 votes
Accepted

How to solve $\sum_{n=3}^\infty \frac{\log(n-1)-\log(n)}{\log(n-1)\log(n)}$

4 votes

$z^6+iz^3+i-1=0$

4 votes
Accepted

Does considering a pair of vacuously true statements lead to a contradiction?

4 votes

Finding a representing matrix of a linear transformation

4 votes

How to calculate $\lim\limits_{ x \to \infty } \frac {7^{2x} +7^{-2x} }{ 3(7^{2x} - 7^{-2x})}$

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