Use properties of limits to find the indicated limit. It may be necessary to rewrite an expression before limit properties can b

Question

2 years ago

8

e applied.
lim x --> 0 (2x2 + 2x + 3)2

A. 9
B. 1
C. -9
D. does not exist

2 answers:

Tatiana [17] · Answer 1 · 2022-07-15T01:25:47+03:00

5 0

I dont know but id say its D

mr Goodwill [35] · Answer 2 · 2022-07-15T02:34:54+03:00

3 0

Solution:

we have been as asked to use properties of limits to find the indicated limit.

The given limit is

$\lim_{x->0}(2x^2+2x+3)^2$

The given limit can be evaluated as below

$\lim_{x->0}(2x^2+2x+3)^2=(2*0^2+2*0+3)^2\\ \\ \lim_{x->0}(2x^2+2x+3)^2=(0+3)^2\\ \\ \lim_{x->0}(2x^2+2x+3)^2=3^2\\ \\ \lim_{x->0}(2x^2+2x+3)^2=9\\$

Hence the correct option is A.