Question

Given that \lim_(x->4)f(x)=-3 and \lim_(x->4)g(x)=3, find the indicated limit. \lim_(x->4)\sqrt(g(x)-f(x)) Which of the following shows the correct expression after the limit properties have been applied? A. \sqrt(\lim_(x->4)f(x)-\lim_(x->4)g(x)) B. \sqrt(g(x)-f(x)) c. \sqrt(\lim_(x->4)g(x))-\sqrt(\lim_(x->4)f(x)) D. \sqrt(\lim_(x->4)g(x)-\lim_(x->4)f(x)) \lim_(x->4)\sqrt(g(x)-f(x))= (Simplify your answer. Type an exact answer, using radicals as needed.)

Name: given that limx 4fx 3 and limx 4gx3 find the indicated limit limx 4sqrtgx fx which of the following shows the correct expression after the limit properties have been applied a sqrtlimx 4 98628
Uploaded: 2024-01-28T01:16:03-08:00
Duration: 1 min 13 s
Channel: Andrew Noble
Description: given that limx 4fx 3 and limx 4gx3 find the indicated limit limx 4sqrtgx fx which of the following shows the correct expression after the limit properties have been applied a sqrtlimx 4 98628

          Given that \lim_(x->4)f(x)=-3 and \lim_(x->4)g(x)=3, find the indicated limit.
\lim_(x->4)\sqrt(g(x)-f(x))
Which of the following shows the correct expression after the limit properties have been applied?
A. \sqrt(\lim_(x->4)f(x)-\lim_(x->4)g(x))
B. \sqrt(g(x)-f(x))
c. \sqrt(\lim_(x->4)g(x))-\sqrt(\lim_(x->4)f(x))
D. \sqrt(\lim_(x->4)g(x)-\lim_(x->4)f(x))
\lim_(x->4)\sqrt(g(x)-f(x))=
(Simplify your answer. Type an exact answer, using radicals as needed.)

given that limx 4fx 3 and limx 4gx3 find the indicated limit limx 4sqrtgx fx which of the following shows the correct expression after the limit properties have been applied a sqrtlimx 4 98628

Added by Michael J.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Andrew Noble

01/28/2024

Step 1

$\lim_{x \to 4} \sqrt{g(x) - f(x)}$ Which of the following shows the correct expression after the limit properties have been applied? A. $\sqrt{\lim_{x \to 4} f(x) - \lim_{x \to 4} g(x)}$ B. $\sqrt{g(x) - f(x)}$ C. $\sqrt{\lim_{x \to 4} g(x)} - \sqrt{\lim_{x \to Show more…

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Given that \lim_(x->4)f(x)=-3 and \lim_(x->4)g(x)=3, find the indicated limit. \lim_(x->4)\sqrt(g(x)-f(x)) Which of the following shows the correct expression after the limit properties have been applied? A. \sqrt(\lim_(x->4)f(x)-\lim_(x->4)g(x)) B. \sqrt(g(x)-f(x)) c. \sqrt(\lim_(x->4)g(x))-\sqrt(\lim_(x->4)f(x)) D. \sqrt(\lim_(x->4)g(x)-\lim_(x->4)f(x)) \lim_(x->4)\sqrt(g(x)-f(x))= (Simplify your answer. Type an exact answer, using radicals as needed.)