Question

how do i find the limit as n approaches infinity of (1/4 + 1/2n + 1/4n^2)

Answer 1

Hoot! You just asked your first question! Hang tight while I find people to answer it for you. You can thank people who give you good answers by clicking the 'Good Answer' button on the right!

Answer 2

Well, as n becomes arbitrarily large 1/2n and 1/4n^2 both tend to zero. So your answer is just 1/4 since it is not dependent on n.

Answer 3

it us 1/4 the next two terms reduce to zero.

Answer 4

unless.......... maybe........... nah, thats right.

Answer 5

big bottomed frations are very very skinny

Answer 6

amistre questioning me?!?!? D:< J/k j/k <33 lol

Answer 7

1
----------- = .000...00001
10000...000

Answer 8

youre icon reminds me of one of my personalities ;)

Answer 9

1) http://www.wolframalpha.com
2) type " limit as n approaches infinity of (1/4 + 1/2n + 1/4n^2)"
3) Click "show steps"

Truly, we live in the future.

Answer 10

im old, new things scare me ..... now wheres my sliderule?

Answer 11

mathteacher no one wants to know how to plug everything in a calculator. Some people want to actually understand what they're doing. So take your advertisement somewhere else :)

Answer 12

show steps? ever thing goes to zero except the number.

Answer 13

Wolfram is a LAST resort if you're stuck.

Answer 14

actually i like it for graphing. but to answer this question use your mental wolfram

Answer 15

wolfram is cool for alot of stuff; but mines stuck on multiplication flip cards

Answer 16

i know how to get to the:

1: quit
2: goto

screen on my ti-83

Answer 17

like asking what \[lim_{x->\infty} \frac{x^2+2x}{x-1}\] by a graph!

Answer 18

Agreed Satellite. I like "use your mental wolfram". The explanations it provides are not always straightforward or the most efficient. It gets better all the time, but nothing is a substitute for developing a good numerical / algebraic intuition and understanding. :)

Answer 19

http://www.math.psu.edu/ug/courses/math140 has GREAT limits review which helps develop this intuition by comparing relative rates of growth for different kinds of functions. I would call it a MUST READ. :)

Answer 20

how about straight up visualization especially for a problem like this. every blasted thing goes to zero except the number.

Answer 21

Whups, they changed the link. Here it is: http://www.math.psu.edu/files/141rates1.pdf
That's the relative rates of growth I was referring to.

Answer 22

To visualize this, type "plot (1/4 + 1/2n + 1/4n^2) from n = 1 to n = 100" in wolframalpha