Mathematics, 25.11.2021 15:20 trenton16

Consider the given limits (a is a constant, f(x) ≥ 0). lim_(x->a) f(x) = 0
lim_(x->a) g(x) = 0
lim_(x->a) h(x) = 1
lim_(x->a) p(x) = infinity
lim_(x->a) q(x) = infinity
Evaluate each limit below. If a limit is indeterminate, enter INDETERMINATE. (If you need to use -∞ or ∞, enter -INFINITY or INFINITY.)

a.) lim_(x->a) [f(x)]^(g(x))

b.) lim_(x->a) [f(x)]^(p(x))

c.) lim_(x->a) [h(x)]^(p(x))

d.) lim_(x->a) [p(x)]^(f(x))

e.) lim_(x->a) [p(x)]^(q(x))

f.) lim_(x->a) (p(x))^(1\/(q(x)))

Answers: 3

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Consider the given limits (a is a constant, f(x) ≥ 0). lim_(x->a) f(x) = 0
lim_(x->a)...