### Questions (32)

 8 Double integral bounds of integration polar change of coordinate 3 Homework help. Prove $x+2(-1)^x ≥ x-2$ for all $x \in\mathbb Z ^+$ 2 Find all real values of a such that $x^2+(a+i)x-5i=0$ has at least one real solution 2 Prove that $|R_n|\leq{n}B|a_n||x|$ where $B=\max\limits_{t\in[0,x]}\left|\frac{(x-t)^{n-1}}{1+t}\right|(1+t)^{-1/2}$ 2 Show that for each $λ ∈\mathbb Z$ with $λ \geqslant 0$, $λ$ is an eigenvalue of $T$, and $x_λ$ is a corresponding eigenvector

### Reputation (475)

 +20 Find all real values of a such that $x^2+(a+i)x-5i=0$ has at least one real solution +10 Find all real numbers x such that $\mid x-14i\mid=1-x$. +10 Why does the absolute value of a power series converge to the same limit as the power series? +10 Radius of convergence power series. (Homework help)

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### Tags (34)

 0 power-series × 11 0 integration × 4 0 proof-writing × 7 0 real-analysis × 4 0 sequences-and-series × 7 0 limits × 3 0 taylor-expansion × 6 0 linear-algebra × 3 0 calculus × 6 0 induction × 2