Prove the following trigonometric identity and show your work: (in other words, show that the identities on the left equal the one on the right). show all of your work. cos t(sect- cos t=sin^2 t

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.