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user600016
  • Member for 6 years
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9 votes
3 answers
793 views

Integral $\lim _{n\to \infty}\int _0^1\sqrt{\frac{1}{x}+n^2x^{2n}}\,dx$

6 votes
2 answers
192 views

Limit $l=\lim_{t\to^{-}} (1-t) \sum_{r=1}^{\infty} \frac{t^r}{1+t^r}$

6 votes
1 answer
138 views

Find the probability that $[x+y+z]=[x]+[y]+[z]+2$

5 votes
3 answers
105 views

Evaluate $\sum_{r=1}^{\infty} \frac{1 \cdot 3 \cdot \ldots (2r-1)}{r!}\left(\frac{2}{5} \right)^{r}$

4 votes
5 answers
187 views

Combinations series: $\frac{{n \choose 1}(n-1)^3+{n \choose 3}(n-3)^3+\ldots}{n^2(n+3)\cdot 2^n}$

4 votes
4 answers
276 views

Angle between a vector and cross product of two vectors

4 votes
1 answer
508 views

Limit question unknown function

3 votes
1 answer
133 views

Permutation question based on recursion

3 votes
1 answer
750 views

Common root of cubic and quadratic equation

3 votes
0 answers
2k views

Inflection point at Vertical tangent?

3 votes
1 answer
168 views

Find $f(x) = x + \frac{2}{3}x^3 + \frac{2\cdot4}{3\cdot5}x^5 + \frac{2\cdot4\cdot6}{3\cdot5\cdot7}x^7+\cdots$ where $|x|<1$ [duplicate]

3 votes
3 answers
153 views

Higher powers of a matrix's relation with its trace

3 votes
2 answers
905 views

Indefinite integral:$\int \cos(2018x)\sin^{2016}(x)dx$

3 votes
1 answer
232 views

$y(x+y^3)dx=x(y^3-x)dy$

3 votes
1 answer
615 views

Colouring vertices of a cube

3 votes
2 answers
128 views

Evaluate:${30 \choose 0}{20 \choose 10}+{31 \choose 1}{19 \choose 10}+{32 \choose 2}{18 \choose 10}+\ldots +{40 \choose 10}{10 \choose 10}$

2 votes
1 answer
219 views

Coordinate Geometry Question using matrices

2 votes
3 answers
70 views

Comparing an integral and a summation

2 votes
3 answers
177 views

$f$ is 1-periodic prove $\lim_{n \to \infty} \int_{0}^{1} \sin^2(πx)f(nx)\,dx = \frac{1}{2} \int_{0}^{1} f(x)\,dx$

2 votes
1 answer
237 views

Number of matrices with positive determinant whose entries are {1,-1} [duplicate]

2 votes
1 answer
382 views

Comparing summation and integration for non monotonic function

2 votes
0 answers
71 views

Prove that $ \frac{1}{1*5} + \frac{1}{2*7} + \frac{1}{3*9}+... = \frac{8}{9} - \frac{2}{3}\ln(2) $ [duplicate]

2 votes
1 answer
69 views

Prove that $ \lim_{n \to \infty} \frac{{(\prod_{a=1}^{n} {a^{a^{p}}}})^\frac{1}{n^{p+1}}}{n^{\frac{1}{p+1}}} = e^{-\frac{1}{(p+1)^2}}$

2 votes
1 answer
398 views

periodic odd function integral

2 votes
1 answer
94 views

Counting number of strictly increasing and strictly non identical functions

2 votes
1 answer
44 views

Arrangement of letters with one pair of letters always between two letters

2 votes
3 answers
73 views

Solving $\frac{5}{8} \cot36^\circ = \cos^3x$ without substituting the trig values for $36^\circ$

1 vote
1 answer
107 views

Counting problem based on digital sum divisibility

1 vote
0 answers
252 views

Generalisation of Serret's integral [duplicate]

1 vote
1 answer
49 views

Graphing sum of floor functions