Suppose that lim ƒ(x) = 0, lim g(x) = 0, lim h(x) = 1, limp(x) = ∞, and x→a x→a x→a x→a lim q(x) = ∞. x→a Evaluate each of the following limits. (a) lim[f(x)p(x)] = x→a (b) lim [h(x)p(x)] = x→a (c) lim [p(x)q(x)] = x→a Note: Input DNE, infinity, and -infinity for does not exist, ∞, and -∞, respectively. If the result is indeterminate, enter I.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.1: Limits
Problem 1YT: Find limx1(x2+2).
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Suppose that lim ƒ(x) = 0, lim g(x) = 0, lim h(x) = 1, limp(x): = ∞, and
x→a
x→a
x→a
x→a
lim q(x) = ∞.
x→a
Evaluate each of the following limits.
(a) lim[ƒ(x)p(x)] =
x→a
(b) lim [h(x)p(x)] =
x→a
(c) lim [p(x)q(x)]
x→a
=
Note: Input DNE, infinity, and -infinity for does not exist, ∞, and -∞, respectively. If
the result is indeterminate, enter I.
Transcribed Image Text:Suppose that lim ƒ(x) = 0, lim g(x) = 0, lim h(x) = 1, limp(x): = ∞, and x→a x→a x→a x→a lim q(x) = ∞. x→a Evaluate each of the following limits. (a) lim[ƒ(x)p(x)] = x→a (b) lim [h(x)p(x)] = x→a (c) lim [p(x)q(x)] x→a = Note: Input DNE, infinity, and -infinity for does not exist, ∞, and -∞, respectively. If the result is indeterminate, enter I.
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