Shifting the Index for Power Series

[@HoustonMathPrep]

NOTE: The final summation in this video should start at k = 1. I posted an annotation on the video, but it does not show on all devices. Hopefully, this does not cause any confusion for anyone! =)

[@keerthanaprabakaran715]

Thank so much ❤️

[@danialhaikal2573]

thank you . i was confused just now. Happy to see this comment hihhi

[@xtremeavi5]

Finally!!! Thank you....straight to the point and exactly the examples I needed to see for my D.E. Course. You rock brother!

[@grianggrian4736]

Thank you!!! You just saved my life! I have spend hours trying to figure out this stuff, and I still couldn't not!

[@IbrahimButtt]

Extremely helpful video. Couldn't find a better explanation with sufficient examples anywhere. Thanks a ton!

[@thetarasbulba1]

Such a simple thing and yet i was banging my head agains the wall because of it! Thank you very much.

[@CharlieJ2588]

thank you thank you thank you!!! You guys are literally the best ive ran into so many awful videos of this topic this was by far the most straightforward step by step explanation of this. I was so lost and looking for videos for hours. Thanks again!

[@НаталияЛевченко-л3с]

Yor videos are amazing. I'm so grateful .

[@ananthsm2007]

Very nice explanation :) Helped a lot!

[@owen810060]

you explained very well !!!!! even though i'm Chinese i can understands well !!!

[@nazmusshakib5376]

Thank you very much...well explained....needs more

[@twinklestar4902]

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[@sharmicthanaraj8815]

Thank you very much for this video. It really helped a lot:)

[@broses]

I really appreciate your videos!

[@anakinkylo.thepomenerianan9084]

god bless you coming to you from the year 2021

[@IzzyMonroe]

You are so good. Thank you:) :)

[@0100hem]

you are underrated

[@milliekim5072]

Thank you so much, sir!!! love it

[@kamalebrahimi8623]

I wish i could mention my professor here so he would learn how to teach

[@atefalanazi1920]

i love you and you have to teach our teacher how to teach

[@anjalichauhan4322]

Helped a lot!!!thanks!!

[@matthewmanrique4771]

Awesome video, thanks for sharing.

[@ازادي-ث5ع]

superb. Thank you very much

[@HoustonMathPrep]

You are most welcome

[@emadmazhari1538]

Very helpful. Thanks!

[@yasserel-azab7033]

prof. ! you are amazing , truly you are amazing how can i get these slides ?

[@travisketshabile3111]

thank you for the help!!!

[@Engineering-To-Infinity]

amazing

[@HoustonMathPrep]

Thank you! Cheers!

[@alghamdi072009]

Thank you:)

[@ashleycoalson2905]

THANK YOU!!

[@mitoand9]

Thanks a lot, gr8!

[@dps6545]

thank you!!!

[@zakiahr7379]

thanks alot

[@annieruth7]

thanks!

[@عالمالرياضيات-ل7ل]

thanks ...😊

[@zeddsaurus]

Thanks