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### Questions (19)

 3 Find the limit of the sequence $\frac{n!}{2^n}$ as n tends to infinity 3 Show that the sequence $\left(\frac{2^n}{n!}\right)$ has a limit. 3 For which values of a do the following vectors for a linearly dependent set in $R^3$? 2 MacLaurin series of $\ln(1-x^2)$ 2 Comparison test

### Reputation (135)

 +5 Solve the initial value problem, $y'-xe^y=2e^y$, $y(0)=0$ +5 MacLaurin series of $\ln(1-x^2)$ +5 Equilibrium solutions of differential equations +5 Show that the sequence $\left(\frac{2^n}{n!}\right)$ has a limit.

 1 Deriving a demand curve intermediate microeconomics

### Tags (19)

 1 calculus × 5 0 multivariable-calculus × 2 1 economics × 3 0 taylor-expansion × 2 0 differential-equations × 6 0 convergence × 2 0 sequences-and-series × 4 0 limits × 2 0 real-analysis × 3 0 linear-algebra

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 Mathematics 135 rep 1416 Personal Finance & Money 1 rep 1 Quantitative Finance 1 rep French Language 1 rep