Find the limit, if it exists. (If an answer does not exist, enter DNE.)

(a) lim x → [infinity] (e^−x + 9 cos(6x))
(b) lim x→−[infinity] (x^2 + 2x^5)
(c) lim x → [infinity] arctan(e^x)
(d) Find the limit. lim x→[infinity]
7 − e^x​/7+6​​e^x