Finding the Sum of a Series by Differentiating

[FramerTerminater]

Sir you just saved my cal 2 grade. I have my test over sequences and series in a couple hours and by watching this I was finally able to comprehend what it meant to find the sum of a series via power series. +10 internet points for you!

[UnholyMist]

me at 0:00 - dafuq is this shit
me at 1:44 -

[TheTrapeze]

Have a hw due tomorrow and had no idea what prof was talking about. Now I do. Thanks so much!

[Arkinoth]

You should do more examples of these. Such as find the sum for (-1)^(n+1)/n using the power series ln(x).

[Digifan]

how do you do it if it was with factorials?

[Mscutie]

i can't express my love for this guy... you have helped soo much

[akshayyadav]

This video has really helped me a lot.

[ironrobin]

This is fine, but what about when you have n^2/something? you can't just multiply both sides by n/n...?

[sukiquartz]

Great Video Patrick!!! :) I love the laugh at 3:13 XD

[waitingtodiehowlongwillitg]

This came to my rescue when I was studying heap sort algorithms. Thank you!

[umike]

Thanks once again patrick! Problem set due in 30 minutes and this was the only one I couldn't figure out!

[krishnasiddharth]

Woah that was amazing man. Instant subscribe!

[Evil_Narwhal]

These problems are some of the most interesting yet frustrating.

[Deseao]

Thank you so much, my professor didn't explain this at all.

[kellyw]

Hi, it is really helpful, but how do you find 1/5 will fit the answer? well, also, why the right hand side in 2'20 to 2'29 can just put the x into the summation?

[TheBikhinkl]

Wow i luv these kinds of smart problems (though the solution seems like coming from out of the blue:(...but i think the key is recognition n remember what uve learnt...thanks a lot:) u really got me into the multiplying the x before a series thing too.

[amanshenoy]

Wow! it all looks so simple once you know it!

[bxella]

Don't integrate, integration is for all the continuous values 0 through 17, its not for the discrete values. You can apply the formula (n(n+1)(2n+1))/6, just put 17 for n and you'll get the answer.

[kreweta]

Now thats a good and complete explanation! Not like these fuckers who just give you a stub and tell you to figure out the rest yourself! +20 internet points for you!

[vlk]

But how to get complete outcome, if I take x=10000 and n=12, what is the total sum. Because by this I am getting 0.0001000200030 as outcome or final answer.