Question

tough calculus Problem

Answer 1

\[\lim_{x \rightarrow 0}(1/x^3)\int\limits_{0}^{x}(t \ln (1+t))/(t^4+4)\]

Answer 2

can any one answer this?

Answer 3

:/ That looks impossible. Sorry!

Answer 4

lol IK

Answer 5

Is this calculas?

Answer 6

yes
it is

Answer 7

I tried itwith my TI-89 but didn't work

Answer 8

wolfram couldn't even solve this integral

Answer 9

It is a college entrance exam problem

Answer 10

waiiiiiiiiit
options

Answer 11

A) 0
B) 1/12
C) 1/24
D) 1/64

Answer 12

IKR
I tried that it is notit

Answer 13

apparently it is B

Answer 14

http://www.solvemymath.com/online_math_calculator/calculus/
Maybe this'll help?

Answer 15

I think that's the point, the integral is unsolvable but it doesn't matter. As x->0 the integral goes to zero because it is over the interval 0 to 0. Also 1/(x^3) goes to 1/0 as x->0. So you get 0/0. So your limit is 1

Answer 16

I get 1/12...using L'hospitals rule