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!

[@IbrahimButtt]

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

[@grianggrian4736]

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

[@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!

[@thetarasbulba1]

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

[@НаталияЛевченко-л3с]

Yor videos are amazing. I'm so grateful .

[@owen810060]

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

[@ananthsm2007]

Very nice explanation :) Helped a lot!

[@kamalebrahimi8623]

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

[@nazmusshakib5376]

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

[@anakinkylo.thepomenerianan9084]

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[@twinklestar4902]

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[@broses]

I really appreciate your videos!

[@IzzyMonroe]

You are so good. Thank you:) :)

[@atefalanazi1920]

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

[@sharmicthanaraj8815]

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

[@yasserel-azab7033]

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

[@milliekim5072]

Thank you so much, sir!!! love it

[@ازادي-ث5ع]

superb. Thank you very much

[@HoustonMathPrep]

You are most welcome

[@matthewmanrique4771]

Awesome video, thanks for sharing.

[@0100hem]

you are underrated

[@anjalichauhan4322]

Helped a lot!!!thanks!!

[@emadmazhari1538]

Very helpful. Thanks!

[@travisketshabile3111]

thank you for the help!!!

[@Engineering-To-Infinity]

amazing

[@HoustonMathPrep]

Thank you! Cheers!

[@alghamdi072009]

Thank you:)

[@mitoand9]

Thanks a lot, gr8!

[@ashleycoalson2905]

THANK YOU!!

[@zakiahr7379]

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[@dps6545]

thank you!!!

[@zeddsaurus]

Thanks

[@عالمالرياضيات-ل7ل]

thanks ...😊

[@annieruth7]

thanks!