Question
Asked Oct 31, 2019
12 views
Evaluate the following limits. If needed, enter INF for oo and MINF for -oo.
(a)
-)=
x 5x1- x
lim
(b)
-i-r)=
/x2 5x1- x
lim
_
help_outline

Image Transcriptionclose

Evaluate the following limits. If needed, enter INF for oo and MINF for -oo. (a) -)= x 5x1- x lim (b) -i-r)= /x2 5x1- x lim _

fullscreen
check_circle

Expert Answer

Step 1

Evaluate the following limit,

help_outline

Image Transcriptionclose

lim x25x 1 - x X00

fullscreen
Step 2

Solving the expression using conjugate.

help_outline

Image Transcriptionclose

Vx2 5x1+ x =lim x2 5x 1 -x Vx25x 1+x XO0 1 lim (x25x+1- x) (Vx2 +5x + 1 +x Vx25x 1+x Xc0 1 lim x2 5x+1) - x2) x2 5x 1+ x X00 lim x25x1 -x2) Vx2 + 5x + 1 + x X00 (5х + 1) lim X00x25x+ 1 + x + x(5 lim 1 + + +1 X (5+ X- = lim 5 1 + х X00 1

fullscreen
Step 3

Now, applying t...

help_outline

Image Transcriptionclose

When x, (5 0 (V100 5 (11) 5 2

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Limits