Series of the Day 8.7.24 | Another Alternating Series! | Math with Professor V

Here's your latest "Series of the Day"! How did you like solving it? Would you like to see this same series tested for absolute vs. conditional convergence? Comment down below!

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[alexanderc]

Thank you! I liked solving this one, and an absolute vs. conditional convergence sounds great! :)

[kozokosa]

does converge, not absolutely though, the series behaves similarly to 1/n as shown near the end of the video.

[lvxingzhe]

Hello Miss, I was wondering if its possible to do this for the limit test at the end:

√(x^2 +1)-x = √(x^2 +1)-√(x^2)
We are taking the limit as x => +∞ so we can ignore the constant since it’s not affecting the variable through multiplication.

The expression cancels out, so the limit approaches 0.

I don’t think this is rigorous enough for an actual Calc class tho 😂