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1.1.6
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Go To Problems & Solutions
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1. An Example |
Example 1.1
Note
We can
use a calculator to find out what this limit might be, as done in Fig.
1.1 as follows.
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Fig. 1.1
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The limit appears to be 0.5. Now let's find it formally.
Solution
EOS
Indeed the limit is 0.5. Note that in the
solution we treat the given expression as a fraction with denominator 1 and
rationalize the numerator by multiplying both the numerator and the denominator
by the conjugate of the numerator.
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Consider the following three
trivial limits:
Problems & Solutions
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if it exists.
Solution
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2.
Evaluate:
if it exists.
Solution
Note: See problem &
solution 1 for more detail of the calculation.
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3. Find:
Solution
4.
Evaluate:
if it exists.
Solution
5.
Find:
if it exists.
Solution
