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NM2
  • Member for 8 years, 5 months
  • Last seen more than 1 year ago
8 votes
1 answer
313 views

Prove that $\sqrt{2} + \sqrt[3]{3}$ is irrational [duplicate]

5 votes
4 answers
277 views

Limit of $2^{n} n!/n^{n}$ as $n \to \infty$

4 votes
2 answers
8k views

bijective function from [a,b] to [c,d]

3 votes
6 answers
813 views

Evaluating the following limit: $\lim _{x\to \frac{\pi }{4}}\left(\tan\left(2x\right)\tan\left(\frac{\pi }{4}-x\right)\right)$

2 votes
3 answers
2k views

Prove that $ \int _a^b\:f\left(x\right)\:\:dx\:=\:\int _a^b\:f\left(a+b-x\right)\:\:dx $

2 votes
3 answers
93 views

Prove that $n\cdot(x+1)^{n-1} = \sum_{k=0}^{n}k\cdot\binom{n}{k}\cdot x^{k-1}$

2 votes
3 answers
1k views

Free fall of 2 water drops

2 votes
1 answer
2k views

How many Combinations there are to choose 5 Men and 5 Women and make them a pair?

2 votes
2 answers
2k views

Prove that the union of two equivalence relations on the same set an equivalence relation iff?

2 votes
2 answers
148 views

Supremum and Infimum of set

2 votes
2 answers
58 views

Prove the limit of the sequence

2 votes
2 answers
71 views

Sum of Sequence

2 votes
2 answers
70 views

Calculate $\lim_{x \to 0} \frac{\sin(\sin x)-x(1-x^2)^\frac{1}{3}}{x^5}$ by Taylor's theorem.

2 votes
5 answers
106 views

Calculte indefinte integral of $\int \frac{dx}{\sqrt{(x+2)(3-x)}}$

2 votes
1 answer
89 views

What is the last answer of the integral $\int \frac{\tan(\ln x^3)}{x}$?

2 votes
1 answer
51 views

What is the probabilty of lottery

2 votes
3 answers
7k views

Prove $Y~\sim N(\mu_Y,\sigma_Y^2)$ when $Y= aX+b$ and $X \sim N(\mu,\sigma^2)$.

1 vote
2 answers
89 views

Find the probabilty of 25 random people

1 vote
1 answer
74 views

Solve the reccurence $T(n) = 3T(\sqrt[3]{n}) + \log_{2}(\log_{2}n)$

1 vote
3 answers
86 views

Calculate indefinite integral $\int \frac{dx}{({x^2-2x+5})^{3/2}} $

1 vote
2 answers
117 views

Find $\lim_{x\to\infty} (x \ln(16x +14) - (x \ln(16x +7))$ using Maclaurin series.

1 vote
5 answers
143 views

Proving that $x-\frac{x^{3}}{6} < \sin(x)$ for $0<x<\pi $

1 vote
1 answer
88 views

Find limit of recursive sequence

1 vote
2 answers
261 views

Function is $1$ when rational and $-1$ when irrational

1 vote
2 answers
141 views

Prove $\sum_{0}^{n}(-1)^i\binom{n}{i} = 0$ [closed]

1 vote
3 answers
5k views

proving Power Set Difference $P(A-B) \neq P(A)-P(B)$ [duplicate]

1 vote
2 answers
7k views

Find distance as function of time.

1 vote
4 answers
84 views

Calculate $\lim _{x\to 3}\left(3x-8\right)^{\frac{x}{\sin\left(x-3\right)}}$ without L'Hôspital

0 votes
1 answer
164 views

Calculate $\sin \frac \pi {10}$ with error bound of $10^{-4}$

0 votes
0 answers
63 views

prove that If and only if lines are perpendicular, the slopes are negative reciprocal.