x
→
1
lim
(
x
−
1
x
2
+
3
x
−
4
)
4 steps
Factorize
Rewrite the term
x
→
1
lim
(
x
2
−
x
+
4
x
−
4
)
Regroup terms into two proportional parts
Regroup terms into two proportional parts
x
→
1
lim
((
x
2
−
x
)
+
(
4
x
−
4
))
Factor Greatest Common Factors out
Factor Greatest Common Factors out
x
→
1
lim
(
x
(
x
−
1
)
+
4
(
x
−
1
))
Factor Greatest Common Factors out
x
→
1
lim
((
x
−
1
)
(
x
+
4
))
Factor Greatest Common Factors out
x
→
1
lim
(
x
−
1
(
x
−
1
)
(
x
+
4
)
)
x
→
1
lim
(
x
−
1
(
x
−
1
)
(
x
+
4
)
)
Simplify
Cross out the common factor
x
→
1
lim
(
x
+
4
)
x
→
1
lim
(
x
+
4
)
Substitute
Substitute
1
+
4
1
+
4
Calculate
Calculate the sum or difference
5
5
Answer
5