# Step-by-step Solution

Go!
1
2
3
4
5
6
7
8
9
0
a
b
c
d
f
g
m
n
u
v
w
x
y
z
(◻)
+
-
×
◻/◻
/
÷
2

e
π
ln
log
log
lim
d/dx
Dx
|◻|
=
>
<
>=
<=
sin
cos
tan
cot
sec
csc

asin
acos
atan
acot
asec
acsc

sinh
cosh
tanh
coth
sech
csch

asinh
acosh
atanh
acoth
asech
acsch

indeterminate

## Step-by-step explanation

Problem to solve:

$\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{x^2-1}\right)$
1

Rewrite the difference of squares $x^2-1$ as the product of two conjugated binomials

$\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{\left(x+1\right)\left(x-1\right)}\right)$
2

Simplifying

indeterminate

indeterminate

### Problem Analysis

$\lim_{x\to1}\left(\frac{\sqrt{x+3}-2}{x^2-1}\right)$

Limits

~ 0.1 seconds