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Juniven
  • Member for 9 years, 8 months
  • Last seen more than a month ago
  • General Santos City, Philippines
19 votes
Accepted

Finding plane equation given two lines

14 votes
Accepted

Find $\lim_{x \to 0} \frac{\ln (x^2+1)} {x^2} $ without L'hopital's rule

12 votes

If $ x^4+x^3+x^2+x+1=0$ then what is the value of $x^5$

11 votes
Accepted

distance between a point and a set or closure of it

10 votes
Accepted

How can I prove this trigonometric equation with squares of sines?

9 votes

Derivative of $f(x)=e^7+\ln(4)$.

8 votes

Examples of closed sets with empty interior

7 votes

Suppose ${a_{n}}$ and $b_{n}$ are sequence such that $\lim_{\infty }a_{n}=\lim_{\infty }b_{n}=0$ Prove that $\lim a_{n}b_{n}=0$

7 votes
Accepted

Showing uniqueness of Riemann's Integral

7 votes
Accepted

Find infimum of $\{\frac{1}{n^2} | n \in \Bbb N\}$ in $\mathbb{R}$

7 votes
Accepted

Absolute value of a measurable function is measurable

7 votes

Complex numbers - find real and imaginary parts of $z=(1+i)^{100}$

6 votes
Accepted

"Extraneous solution" solves original equation

6 votes
Accepted

Prove $P(A)\cap P(B) = \{\emptyset\}\implies A \cap B = \emptyset$

6 votes
Accepted

Show the closure is compact

6 votes
Accepted

Show that $0$ is the only limit point of the set $A=\{1/n:n\in\mathbb{N}\}$

6 votes
Accepted

$if \lim_{x\to 0}\frac{f(x)}{x} = L$, then $\lim_{x\to 0}\frac{f(bx)}{x} = bL$ A particular question

6 votes
Accepted

How does $\int \tan x dx$ equal to $ \log( \sec x)$?

5 votes

How to prove $P(A) \cup P(B) \subseteq P(A \cup B) $

5 votes

Testing for convergence, not sure which test to use?

4 votes

Show that $M=\{g \in G \mid g^m=e\}$ is a subgroup of $G$.

4 votes

Calculus - Infinite Series

4 votes

Limit proof by definition

4 votes
Accepted

How to take the integral $\;\int\frac{\sin^2x\,dx}{\cos^4x}$

4 votes
Accepted

Solve $\lim_{x\to 0} \frac{\sin(2x)-\sin(Ax)}{x+x^3} = A^2$

4 votes

Convergence of $1 +\frac{1}{5}+\frac{1}{9} +\frac{1}{13}+\dots$

4 votes

How to prove that a topological space is connected iff it has exactly two clopen subsets?

4 votes

Solve the equation ${\sqrt{4x^2 + 5x+1}} - 2{\sqrt {x^2-x+1}} = 9x-3$

4 votes

having some trouble with proof that if $A \subseteq B$ then $(A \cap C) \subseteq (B \cap C)$

4 votes

$a+b=21$ and $\frac{1}{a}+\frac{1}{b} =\frac{7}{18} $. What is $ab$?

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