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eMathHelp
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133 votes
5 answers
13k views

Why does L'Hopital's rule fail in calculating $\lim_{x \to \infty} \frac{x}{x+\sin(x)}$?

10 votes
4 answers
1k views

Calculus question with circle, and string tracing an area

6 votes
4 answers
744 views

Fundamental Theorem of Calculus Confusion regarding atan

6 votes
1 answer
238 views

Integrability of a polynomial under root

4 votes
5 answers
571 views

Find a function that satisfies certain conditions

3 votes
1 answer
116 views

Different sites give different answers for this series sum

3 votes
2 answers
141 views

Example of multivalued function (includes pairwise comparisons) that attains maximum when values form evenly spaced vector

3 votes
1 answer
238 views

How can I prove that $\int_0^{\frac{\pi}{2}}\frac{\ln(1+\cos(\alpha)\cos(x))}{\cos(x)}dx=\frac{1}{2}\left(\frac{\pi^2}{4}-\alpha^2\right)$?

3 votes
4 answers
440 views

Can mode lie between mean and median?

3 votes
2 answers
186 views

Finding pseudoinverse of "non linearly-independent" matrix

2 votes
3 answers
92 views

Interval arithmetic and functions of intervals

2 votes
3 answers
76 views

How to find the series $\sum_{n=0}^{\infty} \frac{(-1)^n x^{4n}}{(4n!)}$

2 votes
2 answers
227 views

How can I prove that $\sum_{n=0}^{\infty}\frac{\sin(7n)}{13^n}=\frac{13 \sin(7)}{170 - 26 \cos(7)}$?

2 votes
3 answers
3k views

Average value of $f(x)=\int_x^1 \cos(t^2) \,dt$ on the interval $[0,1]$.

2 votes
3 answers
493 views

Power series of $\pi$ [closed]

2 votes
0 answers
104 views

How to find this integral from Gaussian integral? [duplicate]

2 votes
2 answers
296 views

Knight's Tour with Obstacles

2 votes
2 answers
232 views

Example of multivalued function that attains maximum when values form evenly spaced vector

2 votes
1 answer
91 views

Partial derivative of a vector-valued function

1 vote
2 answers
66 views

Product involving function of two dependent Gaussian random variables

1 vote
0 answers
31 views

Recreate a function from its Laplace transform

1 vote
1 answer
84 views

Approximate the sum of exponential functions

1 vote
1 answer
54 views

Proving martingale properties

1 vote
2 answers
65 views

Infinite series involving binomial and geometric

1 vote
7 answers
85 views

Find a limit with sqrt $\lim_{x \to \infty}x^2\left(x^2 - x \cdot \sqrt{x^2 + 6} + 3\right)$ [closed]

1 vote
6 answers
571 views

Another way to solve $\int \frac{\sin^4(x)}{1+\cos^2(x)}\ dx$ without the substitution $y=\tan\left(\frac{x}{2}\right)$?

1 vote
3 answers
129 views

Find limit of a function (two different calculators give different answers)

1 vote
1 answer
296 views

Linearization of an implicitly defined function

1 vote
2 answers
123 views

limit $\lim_{x \to \infty}\frac{e^{e^x}}{e^{x^3}}$

1 vote
1 answer
550 views

Conditional probability question: bags with balls.