Anybody good with Calculus?

[Medieval Bob]

What is the Limit as H goes to 0 of

(1/H)*[ (1+H)^10 - 1 ]

Comment if you know the answer. Vote if you would like to guess. (I can find the answer, but I haven't yet because I don't feel like multiplying that out if there is another way to do it.)

[LordZpider]

It's zero, because (1+H) = 1
H is approaching zero.
1 ^ 10 = 1 because 1*1*1*1*1*1*1*1*1*1 = 1
1 -1 = 0
zero multiplied by anything is 0

Thus the answer is zero




I made a stupid mistake, read below to see my 2nd attempt at this problem

[Wiccan][V][asta]

I think it's 10...

Well, at first glance i would think that it approches zero because of the reasons you gave. That is not true though. A somewhat good check to do is plug in some values for x that get smaller and smaller and see what number it looks like it's getting close to... I've forgotten how to get a for-sure answer. But the answer to your problem is 10.


But I soo stupidly voted 0 on my first guess, but, well... whatever

[Medieval Bob]

Originally posted by LordZpider
It's zero, because (1+H) = 1
H is approaching zero.
1 ^ 10 = 1 because 1*1*1*1*1*1*1*1*1*1 = 1
1 -1 = 0
zero multiplied by anything is 0

Thus the answer is zero

You completely forgot about the (1/H). You can't divide by zero my friend. Also, Wiccan, you're right. A little calculator work provides that it ends up coming to 10. Thanks for the help. May the Lord of Calculus shine upon your den, and may your feast be bountiful.

[Wiccan][V][asta]

And may you get herpes. :)

[Jamesadin]

oh dear lord, I hate calculus.

[LordZpider]

hey, i notice that u HAVE to have a calculator to do this problem, quite a trick problem here
The first half of the problem (1/h) comes out to be approaching infinity
the second half of the problem approaches zero.
at first glance, a really big number multiplied by zero is zero.
but then i noticed the 2nd part isn't zero, but it approaches zero. so it's actually a really big number multiplied by a really small number.
And it just so happens, the really big number is exactly 10 times bigger than the small number. thus the answer is 10. *smacks myself for answer earlier*

[Wiccan][V][asta]

*smacks you also*