anonymous
  • anonymous
Please help! Find the limit as x approaches infinity of (1+(6/x))^x
Mathematics
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
1. easy to see; as x becomes larger and larger, notice what happens to 6/x. (ignore the exponent for the moment) 6/1 = 6. 6/2 = 3 6/6 = 1 6/12 = 1/2 6/100 = 3/50 6/600 = 1/100 6/1000 = 1/1000 basically, as 6/x where x -> infinity, the value of 6/x will approach zero. so basically that means we have (1+0)^x well thats easy to simplify (1)^x and 1 to any exponent is just 1.. 1^2 = 1 1^10000000000000 = 1 etc. so thus the answer is 1.
anonymous
  • anonymous
Your reasoning makes sense! But when I submit it, it says its wrong.. I don't know if there is another way of solving it..?
anonymous
  • anonymous
The section we are working on is dealing with series. I know the fxn converges, so there has to be a set number that it goes to, but it isn't one...

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
it's definitely not 1, wolfram says its e^6, i see why but don't quite understand the reasoning they give. http://www.wolframalpha.com/input/?i=lim+x+-%3E+inf+%281%2B%286%2Fx%29%29^x+ if you want to see. (1+1/x)^x = e, and 6/x = e^6 i believe, not immediately sure why though
anonymous
  • anonymous
Oh..they raised it to the e and then did ln(fxn)..im assuming.? Haha but thank you so much for your help!!! It was greatly appreciated!!! (((:

Looking for something else?

Not the answer you are looking for? Search for more explanations.