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Mathematics
Mathematics
Problem
Evaluate the following limits of polynomial expressions, showing each step clearly. a. (i)
lim
x
→
4
(
x
3
−
6
x
+
7
)
\displaystyle \lim_{x\to4}\bigl(x^{3}-6x+7\bigr)
x
→
4
lim
(
x
3
−
6
x
+
7
)
b. (ii)
lim
x
→
−
1
(
2
x
4
+
5
x
2
−
1
)
\displaystyle \lim_{x\to-1}\bigl(2x^{4}+5x^{2}-1\bigr)
x
→
−
1
lim
(
2
x
4
+
5
x
2
−
1
)
c. (iii)
lim
x
→
0
(
x
5
+
3
x
2
+
7
)
\displaystyle \lim_{x\to0}\bigl(x^{5}+3x^{2}+7\bigr)
x
→
0
lim
(
x
5
+
3
x
2
+
7
)
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