Logan Serman
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379
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### Questions (11)

 16 Prove that the equation $x^{10000} + x^{100} - 1 = 0$ has a solution with $0 < x < 1$ 11 Prove that $\lim \limits_{n\to\infty}\frac{n}{n^2+1} = 0$ from the definition 7 Simplifying $1 - x + x^2 - x^3 + … + x^{98} - x^{99}$ to an equivalent expression. 4 Prove that $\sum_{n=1}^{\infty}x^n\frac{(n!)^3}{(3n)!}$ converges when $|x|$ < 27 and diverges when $|x| > 27$ 3 Help with epsilon-delta proof of continuity

### Reputation (379)

 +25 Prove that $\lim \limits_{n\to\infty}\frac{n}{n^2+1} = 0$ from the definition +30 Prove that the equation $x^{10000} + x^{100} - 1 = 0$ has a solution with $0 < x < 1$ +5 Help with epsilon-delta proof of continuity +5 Simplifying $1 - x + x^2 - x^3 + … + x^{98} - x^{99}$ to an equivalent expression.

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### Tags (15)

 0 calculus × 4 0 statistics 0 divergent-series × 2 0 real-analysis 0 numerical-methods × 2 0 epsilon-delta 0 polynomials × 2 0 finite-differences 0 sequences-and-series × 2 0 inequality

### Accounts (7)

 Stack Overflow 13,254 rep 1658104 Mathematics 379 rep 111 Meta Stack Exchange 121 rep 1 Information Security 121 rep 1 Ask Ubuntu 111 rep 3