need help with f/g/h/i

1. Determine whether the following limits exist as a number, as -co or as co . If not, indicate DNE. Where the limit exists as a number, find its value. Justify your answers by the following: At EACH STEP in your work, beginning with the original problem, if the limit has an indeterminate form, indicate the indeterminate form it possess. As done in class, clearly indicate the use of LRI, LPI, and L'H and The Squeeze Theorem. Recall: . The following are indeterminate forms: too too ' .' (0 ) (00 ) , 00 - 00 , 00 , 10 , 00 0 . Whereas 0 is not an indeterminate form. a) lim n! n-> ( n+ 1)! f) lim 1 4 n-> oo 2 n b) lim n sin 1 n-> oo 6n g) lim n (Note: n ->-00 ) n-> -0o c) lim cos V3n V3n2 - 7 -1 h) lim sin(3n) n->oo 5- 2n n-> oo 24n+1 d) lim i) lim Vn- +n-Vn2-5n n->oo 32n n-> oo e) lim (5n)" noon 3n