Question

help with a limit problem ? Lol

Answer 1

@ganeshie8

Answer 2

\[\lim_{x \rightarrow \infty} x^3/e^x/2\]

Answer 3

x^3 / e^(x/2)

Answer 4

sorry its supposed to look like the 2nd one

Answer 5

take L'hospital 3 times

Answer 6

numerator reduces to a constant
however nothing much happens in the denominator

Answer 7

so then the constant would be 6/e^x/2 / 8 ?

Answer 8

\[\large \lim\limits_{x\to\infty} \dfrac{x^3}{e^{x/2}} ~\stackrel{\text{LH 3 times}}{\leadsto\leadsto\leadsto} ~ \lim\limits_{x\to\infty} \dfrac{c}{e^{x/2}} = 0 \]

Answer 9

exponential function overtakes ANY polynomial

Answer 10

what ?

Answer 11

you're right, you get : 6/e^x/2 / 8

which is same as 48/e^(x/2)

Answer 12

next take the limit

Answer 13

okay would it be 48/infinity ? lol

Answer 14

so a constant over infinity equals 0 ????

Answer 15

why did you leave @ganeshie8 still have unanswered questions :(

Answer 16

Yep, a constant divided by an increasingly large number tends towards 0.