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| EXAMPLE
SOLUTION |
G.2) Line fundamentals*
G.2.b)
Put
What do you say are the limiting values
and
First, I'll enter this function in
Positive Infinity
I'll check out some values of f for large x's:
I'm guessing the limit is 2. If this is correct then a graph of f
should flatten out at a height of 2 as x gets bigger. Let's check.
Plot[f[x], {x,0,100000}]
Negative Infinity
Let's go right to a graph.
Plot[f[x], {x,-100000,0}]
Looks like 2 again.
The formula
It seems that both limits are 2. Does that make sense according to the formula?
Let's take a look at the formula again...
When x is really really really big, the x6 term dominates. That means f[x] will
look a lot like 
, which is the same as
2. So, 2, does seem like a good limit of f for positive or negative infinity.
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