### Answers (56)

 19 How is possible that those shapes are equivalent in topology? 3 Limit verification 2 Is the sequence $a_{n} = 1 + \frac14 + \frac{2^2}{4^2} + \cdots +\frac{n^2}{4^n}$ Cauchy? 2 find the limit of $\lim_{x \to\infty} (\frac {2+3x}{2x+1})^{x+1}$ without L'Hopital 2 Constant in front of the characteristic polynomial of a matrix

### Reputation (1,809)

 +2 Limit of positive definite sequence with terms $a_{n} = \frac{a_{n - 1} + 1}{2}$ or $a_{n} = sin(a_{n - 1})$ +2 Boundary of Set defined with $\sin(\frac{1}{x})$ +2 If $Av=Bv=\lambda v$, can we conclude that $A=B$? +2 Is $y=|x^3|$a parabola?

### Questions (33)

 7 Boundary and initial conditions in quasi linear first order pde 3 An initial- and boundary-value problem for Burgers' equation with no solution 3 Application of Lyapounov's Theorem 3 How can I show that this shape is connected 3 If $f$ is continuous and $\lim\limits_{x\to \infty}f(x+1)-f(x)=0$, does this mean that $\lim\limits_{x\to \infty}\frac{f(x)}{x}=0$? [duplicate]

### Tags (79)

 22 general-topology × 8 3 cauchy-sequences × 3 7 linear-algebra × 9 2 vector-spaces × 6 6 limits × 4 2 polynomials × 4 5 real-analysis × 14 2 geometry × 3 3 calculus × 7 2 inequality × 3

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