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love history [14]
3 years ago
15

CALC!! Please help me. For which pair of functions f(x) and g(x) below will the limit as x goes to infinity of the product of f

of x and g of x does not equal 0? (I have attached a photo of the multiple choice answers and the question itself)

Mathematics
1 answer:
Marizza181 [45]3 years ago
6 0
First limit:
\lim_{x\to\infty}(10x+e^{-x})*\frac{1}{5x}
=\lim_{x\to\infty}(2+\frac{1}{5xe^{x}})
=2+0
=2

Since we know that the first pair of functions does not approach 0, we do not have to check the others.
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