Power Series - Finding the Radius and Interval of Convergence Of Power Series - Calculus

In this calculus video I am gonna show you what are the power series and how to we can find the radius of convergence and the interval of convergence of a power series using the ratio test.
If the limit of the ratio test is zero, the power series converges for all values of x.
If the limit is infinity, the power series converges only at a single point (at the centre point ).
Otherwise, the radius of convergence is a nonzero number and the series of converges is an interval. In this case you have to check the endpoints of the interval separately.

[@neel9702]

i barely ever comment on these videos but this time i had to.
That was perfection you literally saved my life

[@tamanaradmanish2249]

you are wonderful. I have been watching lot of youtube videos for long time. I have learn from you better. Thank you !!!!!! please continue making more videos.

[@lanaenjoyer]

Thank you king

[@ashayadav8510]

Very nice explanation

[@shaaficicabdiraxmaan5284]

Really you are wonderful keep going sir.

[@misheckcaswell3326]

Vivid explanation

[@andreasshimupurenihamutwa7860]

excellent explanation

[@tahamustafa3182]

thanks

[@KhanKhan-ux2ss]

Thank you so much Sir

[@eshghi1356]

You saved my life, tqsir

[@gareebmusic2990]

If the value of power series is zero than how to calculate value of x

[@rjunchoudhary5901]

Thx 🙏

[@user-ll5or4kd2j]

I have an issue I don't know can you help me?

[@user-xu2bj9jy8x]

Unlike your video, most videos skip to the analytical part and forget to explain why we are even looking for radius of convergence in the first place; the explanation showing how sometimes when you plug-in an x it gives you a convergent geom series why other times it doesn't really helped me understand what's going on and why we need to find the radius of convergence in the first place

[@tsukishmakenma5200]

69 subscribers, nice