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Gibbs
  • Member for 6 years, 4 months
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10 votes

Notation for the derivative of a function: $f'$ or $f'(x)\;$?

8 votes

Evaluate $\int x^x \ln x\, dx$

8 votes
Accepted

Continuity of function defined on natural numbers

7 votes

Prove that $\sum_{i=1}^{n} i \times i! = (n+1)! - 1$ by induction

7 votes
Accepted

Domain and range of $g(x) = \frac{3x^2+4}{x-2}$

7 votes
Accepted

Identity with scalar product

7 votes
Accepted

Prove that the limit $\lim_{n\to\infty} \frac{\alpha + n}{\beta + n} $ equals $1$

6 votes

Is the function $f$ differentiable?

6 votes

Linear Algebra - Linear transformation question

5 votes

How do you verify that $(1,2)$ is a generator of $\mathbb{Z}_2 \times \mathbb{Z}_5$? (Abstract Algebra Question)

5 votes
Accepted

If $f$ is bijective then show it has a unique inverse $g$

5 votes

Simplifying $e^{2x+1/2}$

5 votes

Understanding the distance between a line and a point in 3D space

5 votes

Construct two sequences so that $ \lim_{n\rightarrow\infty } \frac{a_{n}}{b_{n}} \neq \lim_{n\rightarrow\infty } \frac{a}{b_{n}} $

5 votes
Accepted

What indeterminant forms do L’Hospital’s Rule apply to?

5 votes
Accepted

Is Hom$(V, W) \simeq V^* \otimes W$ naturally?

5 votes
Accepted

The implication: $x+\frac{1}{x}=1 \implies x^7+\frac{1}{x^7}=1$

5 votes

Inequality $x^2\leq y$

4 votes
Accepted

Equivalence relation: $(n,m) \in S \textrm{ if $m^2$ is divisible by } n$

4 votes
Accepted

Show that $f$ is constant.

4 votes
Accepted

Integrating a function without u-substitution?

4 votes
Accepted

Smooth (almost) everywhere

4 votes

Function with no maximum or minimum

4 votes
Accepted

How can I solve/prove this inequality

4 votes

Is it okay to "ignore" small numbers in limits where $x$ approaches infinity?

4 votes
Accepted

Limit: $2^{\frac{(-1)^n - n}{n}}$as $n \rightarrow \infty$

4 votes
Accepted

Why this equality holds? And how can I get from left side to the right side?

4 votes
Accepted

How to integrate $\int_0^N \frac{\vert \sin(x) \vert}{x} dx$

4 votes
Accepted

Why is $\sqrt{x^2}$ is $|x|$?

4 votes
Accepted

Totally antisymmetric Riemann tensor

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