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Lucifer
  • Member for 2 years, 11 months
  • Last seen more than a week ago
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BSc undergrad with double majoring in mathematics and physics.

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question
3
Proving the space which consists sequences of finitely many non-zero terms is incomplete with respect to $2$ -norm
Mar 11, 2023
question
2
If $x_n$ is a strictly increasing sequence and $|x_n| < 1+\dfrac{1}{n}$ then $x_n$ converges to $1$ as $n$ tends to $\infty$
Aug 16, 2022
question
2
Can you recommend me a book about the history of complex analysis?
Nov 2, 2022
question
1
How to prove $f(x) = \frac{e^{x^{2}} \sqrt {\sin x}}{\cos x}$ is continuous on $[0,1]$ using limit theorems?
Aug 6, 2022
question
1
Prove the sequence $x_n=(1+x_{n-1})/2$ converges to $1$ as $n \rightarrow \infty$ where $x_0 \in \mathbb R$
Aug 16, 2022
question
1
If $f(x) \rightarrow 0$ as $x \rightarrow a+ $ and $g(x) \geq 1$, $x \in \mathbb R $, then $\dfrac{g(x)}{f(x)} \rightarrow \infty$, $x\rightarrow a+$
Aug 17, 2022
question
1
Proving $f'(c) = 0$ using the property of differentiability and local maximum
Aug 18, 2022
question
1
if $f(a) = f(b) = 0$ and $f(c)\neq0,$ then there exist $x_1 , x_2 \in \mathbb R $ s.t $f'(x_1) > 0$ and$ f'(x_2) <0$
Aug 20, 2022
question
1
How to show the right limit at $0$ of $\dfrac{1}{x \sin (\dfrac{1}{x})}$ does not exist?
Sep 8, 2022
question
0
If $x_n \to a$ and $f(x_n) \to L$ as $n \to \infty$, is it true that $f(x) \to L$ as $x \to a$? [closed]
Aug 1, 2022