Find the Power Series Centered at c = 4 for f(x) = 1/(9 - x) and the Interval of Convergence

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Find the Power Series Centered at c = 4 for f(x) = 1/(9 - x) and the Interval of Convergence

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A year ago I didn't know how to combine fractions, today I am at the top of the class in calc2, most of it is because of you! I wish you would make full lectures for calc 2 as you did for calc1! It was great!

MrDanielcd

You beautiful, BEAUTIFUL, man. I haven't able to grasp this concept until this video. Thank you so much from Texas.

minecraftexpertFTW

If only teachers were this informative and thorough in their explanations... Thank you so much

CarlosRodriguez-kols

Had quite some trouble grasping this concept until you explained it! Bless you <3

AmirJacob_

You got me out of a tight spot, thank you so much. Have a blessed day! :)

benforer

Wow this makes so much more sense now !!! I had a similar problem on my homework and was stuck! Thank you so much great explanation

hwitdajuice

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monkeygenerator

Thanks! youre the boss during online classes

piratejoans

You're a lifesaver! Greetings from Argentina

lucy

You are such an amazing professor. Thank you!

lider

Thank you! Taught me more than my professor in 6 minutes!

johnaguilera

Thanks, you're explanation is very concise.

shibuyasnobody

THANK YOUUUU. You explained it so well. Can I ask? My problem is my denominator is (2-x) and the center should be 5 and so i added -3. So for the signs to be correct, I put or multiplied (-1)^n in the summation. Is it correct?

luzcille

This was super helpful! I do have 1 question though: how did you know that it would not converge on the endpoints without testing them? Is that a special rule for power series of the form sum(x^n)?

minkymoo

Thanks a ton! This really helped clear this concept. However I had a question, suppose the expression in the denominator was squared, so instead of (9-x) it was (9-x)^2, how would solving the problem change?

dumblojikick

Thank you soooo much. This helped me a lot.

powerhousetv

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