Great explanation, this helped me with calc 3 two years later and I'm sure it will be helpful to students for years to come. Thank you for doing this.
@ziploxian85164 жыл бұрын
You did everything perfectly till the end where you didn't show how you did the root/ratio test and got 7 as the radius.
@alexramirez51048 жыл бұрын
Thanks for the videos...they help so much!
@ognjenmladenovic99607 жыл бұрын
Perfect!
@SMABackup8 жыл бұрын
Thanks so much!
@SierraSlim15 жыл бұрын
Nicely done!
@saptakidebnath57747 жыл бұрын
thanks for helping me out
@justsomegirlwithoutamustac58373 жыл бұрын
he has such a gentle voice
@slcmathpc3 жыл бұрын
:-)
@meamarie87145 жыл бұрын
Best explanation i've seen so far! Thanks!!!
@hyericho4415 жыл бұрын
how is the range -5 to 9 using the root test?
@Aka_shsin_hA11 ай бұрын
Please,explain how the interval was obtained by ratio/root test ?
@bangmet45002 жыл бұрын
great explanation !!
@lawrenceogunjimi50025 жыл бұрын
Good explanations
@asgarrahmani9397 жыл бұрын
it is must for help
@zaidelkhateeb9326 жыл бұрын
What about chain rule? Don't you have to multiply by the derivative of what's in the parenthesis?
@tinkman986 жыл бұрын
The derivative of (x+5) is just one because 5 is a constant and x's coefficient is just one. If it were (2x+5) you would need to multiply by an additional 2 each time.
@davinci4032 Жыл бұрын
Great video. I have a question, how was the interval -5,9 determined?
@slcmathpc Жыл бұрын
You can apply either the Ratio Test or the Root Test; I have videos covering both, so you can check out my playlist on integral calculus. :-)
@katesaychaleun63222 жыл бұрын
I have a question: How did we figure out the interval at 12:57 ? Did I miss something? Is there some formula or approach to finding this? Additionally, why is it important to define the interval? P/S: Awesome video! Appreciated it :)
@slcmathpc2 жыл бұрын
As mentioned in the video, one can apply the Ratio Test to determine the radius of convergence of the power series. The reason why it is important to find the interval of convergence of the series is to know when it is equal to the original function. Notice that in this case, the equality between the original function and its Taylor series does not hold for all values of x, but instead holds only if -5 < x < 9.
@hritabandasghosh103 жыл бұрын
Can I get to know how You setup the camera? Good Maths though!
@slcmathpc3 жыл бұрын
It's amazing what one can accomplish with a kid's plastic hockey stick, empty jars of peanut butter and some duct tape. ;-)
@hritabandasghosh103 жыл бұрын
Creativity at it's peak!
@hritabandasghosh103 жыл бұрын
@@slcmathpc Will you like to share your setup picture if I send my mail id?
@williammwala79892 жыл бұрын
Why are we using 2 as the center?
@slcmathpc2 жыл бұрын
In this case, 2 is an arbitrary choice. In general, the center would be a point around which you are interested in the behavior of the function. For example, if you had a limit involving the function f(x) as x approaches 3 that yielded an indeterminate case, then you may investigate the limit by calculating the Taylor series expansion of f(x) centered at x=3.