my gawshhh. You are the best! my teacher just skips over this stuff just because she thinks everyone understands it. She doesn't even bother to ask if everyone understands. your tutorials are a lifesaver
I looked and looked for how to do the ratio test with factorials and couldn't find helpful answers for the life of me. I finally understand, thanks to you!!
+MarK Zambelli I have to agree. Calculus was really good, with all the integration and differentiation. Sequences and series put a whole new spin on things. Thankfully I am now understanding the concepts.
+Tuffadandem My guess is this "stuff" will come up again in the higher level fancy-schmancy stuff, e.g. Taylor Series (?), Fourier Something Or Other. They could have told us something similar back in 8th grade when our noses were being rubbed in "quadratic equations" - something like "you'll need to know this when it comes time to do xyz, which is how you... I don't know... calculate a nuclear reaction... something geeky cool to keep the 8th grade would-be engineers interested. Anyway, onward with Krista, the best math teacher on RU-vid.
It's amazing how I can sit in my class for 1.5 hrs and leave confused, but watch your 12 min videos and completely understand the material. I should be paying you my tuition lol. Thank you for what you're doing here. You're an Angel! I'll be looking to see if you have a site that I can donate to.
I'm a slow learner so you're like a goddess to me! Omg every teacher just assumes students know the algebra SOMEHOW so I'm so so very thankful that you explained every single step so thoroughly! :) :) xoxo
Thanks so much for this! I was confused as to how to cancel out the factorials when using the Ratio Test but this video cleared it up for me! Again, THANKS SO MUCH :))
i know.. 11 years later. But just a quick thing. Showing the limit part can be a lot more simplified (you probably know what im talking about) it would be nice to be shown both ways so that any student can figure out the problem how they like too.
I hate to be that guy.... but I see that the ratio test calls for the absolute value of the new/original. Is there a reason that you did not include the absolute value bars at the beginning? If so, can you please explain why this was excluded. Thanks!
can you solve this question for me? (k!)^k / (k^k)^2 i got the limit of (k!)(k^k)^2 / (k+1)^k+1 at the end i dont no how to find the answer with k! inside
