True-False Quiz [Ch 7 and 10]

These are just for practice and don't affect your grade. I'm assuming you've read over Ch 7 and Chs 10.1-10.4 of the Edwards and Penny text . The CD that comes with the book has a lot more TF questions for practice and it also grades. S Hudson, 2003

True False. Integrating tan(x), sec(x) and cot(x) all involve a logarithm.

True False. Integrating (25 - x²)^-1/2 involves the trig substitution x = 5 sec(x).

True False. We could integrate 1 over (x²-4) by partial fractions OR by a trig substitution.

True False. If f is continuous and lim _x_{® ¥} f(x) = 0 then ò ₀^¥f(x) dx converges.

True False. Most proofs about convergence of series involve partial sums.

True False. If lim a_n diverges, then åa_n diverges too.

True False. If { a_n } converges then lim a_n - a_n_-₁ = 0.

True False. The harmonic series converges to zero.

True False. If lim a_n = 0 then åa_n converges.

True False. If |r | < 1 then åarⁿ = a/(1-r). (assuming the sum is from n=0 to infinity)