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Calculus Examples
Step-by-Step Examples
Calculus
Evaluating Limits
Evaluate the Limit
lim
x
→
5
8
x
lim
x
→
5
8
x
Step 1
Move the
term
8
8
outside of the
limit
because it is
constant
with respect to
x
x
.
8
lim
x
→
5
x
8
lim
x
→
5
x
Step 2
Evaluate
the
limit
of
x
x
by plugging in
5
5
for
x
x
.
8
⋅
5
8
⋅
5
Step 3
Multiply
8
8
by
5
5
.
40
40
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⎡
⎢
⎣
x
2
1
2
√
π
∫
x
d
x
⎤
⎥
⎦
[
x
2
1
2
π
∫
x
d
x
]
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