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ahorn
  • Member for 8 years, 1 month
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9 votes
2 answers
573 views

A proviso in l'Hospital's rule

9 votes
4 answers
2k views

Why do sequences $(x_n)$ of real numbers defined by $x_{n+1}=1+\frac 1{x_n}$ nearly always converge to the golden ratio?

8 votes
6 answers
5k views

Solve $\cos{z}+\sin{z}=2$

7 votes
2 answers
1k views

Lagrange's multiplier not working

7 votes
2 answers
841 views

What do uniformly continuous functions look like?

6 votes
5 answers
456 views

Evaluate $\int{\sin^3(x)\cos^2(x)}dx$ [duplicate]

5 votes
1 answer
251 views

Evaluate $\int_2^4\frac{\sqrt{x^2-4}}{x^2}\mathrm dx$

5 votes
3 answers
34k views

Volume of a frustum

4 votes
3 answers
225 views

How can a continuous function induce a proper inclusion $f(\overline{A})\subsetneq \overline{f(A)}$?

3 votes
1 answer
246 views

Mathematical structures textbook recommendation

3 votes
2 answers
10k views

Finding the automorphisms of $S_3$ by looking at the orders of the elements

3 votes
1 answer
147 views

Is the cusp of $\sqrt{\left|x-\frac 1 2\right|}$ differentiable?

2 votes
1 answer
938 views

What does an asterisk mean in analysis?

2 votes
0 answers
121 views

How are neighbouring sequences defined? (Metric spaces)

2 votes
3 answers
100 views

What is the logic underlying this proof?

2 votes
3 answers
2k views

Injective or one-to-one? What is the difference?

2 votes
2 answers
116 views

Convergence $\overset{?}{\Rightarrow}$ absolute convergence (of a series)

2 votes
0 answers
119 views

Lemma 2.1 in Undergraduate Analysis by Serge Lang: Rolle's Theorem or not?

2 votes
3 answers
4k views

Integration - finding an explicit formula

2 votes
2 answers
129 views

Evaluate $\int\frac{\sqrt{9-x^2}}{x^2}\mathrm dx$

2 votes
1 answer
103 views

Domain of a composite function

2 votes
3 answers
803 views

Does e = limit as x tends to negative infinity hold true?

2 votes
2 answers
155 views

Evaluate a linear system of three equations

2 votes
2 answers
131 views

Evaluate $\int\sec^4(u) \operatorname d \!u$

2 votes
2 answers
580 views

Prove a cyclic quad where there are parallel lines

2 votes
1 answer
91 views

How can one integrate with respect to a function not in the integrand?

1 vote
1 answer
116 views

Can a summation be transferred into the denominator?

1 vote
1 answer
37 views

Why is the root of a square restrictive in my calculation?

1 vote
1 answer
56 views

I cannot reproduce a geometric result algebraically

1 vote
2 answers
11k views

Optimization problem: rowing across a lake