Question

Let f(x) = x100 and g(x) = 2x.

As x → ∞, which statement is true?



A)
f(x) > g(x)
B)
g(x) > f(x)
C)
f(x) = g(x)
D)
Insufficient information.

Answer 1

what is x → ∞ mean?

Answer 2

when x is aproches to infinity in the function

Answer 3

it means value of x becoming so large ans tending to infinite

Answer 4

but why is A

Answer 5

correct answer will be C
because as x tends to infinite both function tend to infinite
so they are equal

Answer 6

make a table with values for each function and you will be able to see

Answer 7

f(g) is 2 to the x power i think that is greater than x to the 100 power

Answer 8

so x → ∞ this can i say that is infinity??

Answer 9

it tends to. because there are no llimit in infinity you know what i mean

Answer 10

\[\lim_{x \rightarrow \infty} x ^{100} \]\[\lim_{x \rightarrow \infty} 2^{x} \]

Answer 11

you know what, on this functions there are not asymptotes

Answer 12

that's why they going on and on

Answer 13

okay so → just mean a line that is no end just like axis right??

Answer 14

no alway cause there are multiple kinds of limits

Answer 15

but in this case what you say is true, im going to give an exmpla with asymptotes