menu
bartleby
search
close search
Hit Return to see all results

2V5-4x2 sf(x)s/5-x for 1sxs1, find lim f(x)x 0lim f(x)x0(Type an exact answer, using radicals as needed.)

Question

Can I get help with this question step by step?

2
V5-4x2 sf(x)s/5-
x for 1sxs1, find lim f(x)
x 0
lim f(x)
x0
(Type an exact answer, using radicals as needed.)
help_outline

Image Transcriptionclose

2 V5-4x2 sf(x)s/5- x for 1sxs1, find lim f(x) x 0 lim f(x) x0 (Type an exact answer, using radicals as needed.)

fullscreen
check_circleAnswer
Step 1

Sandwich Theorem :

 

If g(x) f(x) h(x) for all x in some open interval containing
x-c, except possibly at x c itself
and if lim g(x) lim h(x) = L
then, lim f(x) = L
help_outline

Image Transcriptionclose

If g(x) f(x) h(x) for all x in some open interval containing x-c, except possibly at x c itself and if lim g(x) lim h(x) = L then, lim f(x) = L

fullscreen
Step 2

By applying this ...

(5-4x*) and h) (5-x*)
Here, g(x)
Therefore, lim g(x) lim /(5-4x2) = /5
x0
x-
(5-x*) = v5
lim h(x) = limJ5 -
x0
Thus, lim gx
x0
lim h(x) V5
x0
then, lm f(x)5
help_outline

Image Transcriptionclose

(5-4x*) and h) (5-x*) Here, g(x) Therefore, lim g(x) lim /(5-4x2) = /5 x0 x- (5-x*) = v5 lim h(x) = limJ5 - x0 Thus, lim gx x0 lim h(x) V5 x0 then, lm f(x)5

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Calculus

Continuity

Sorry about that. What wasn’t helpful?