Calculus 2 series

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#shorts
bprp fast

[mattpearce]

Top 10 rappers that Eminem was too afraid to diss

[mindnova]

Students: But we only have one minute left!
The teacher:

[shurjoaunibar]

It doesn't telescope
Me: Does it microscope???

[NihilistEmier]

it kinda seems that he is practicing for one day to challenge Eminem. "Isn't it!"

[xavier]

I wish I had my maths teacher like you.

[dr.rahulgupta]

Sir It does not telescope , but it microscopes !! Thanks a log (base =e) . DrRahul Rohtak Haryana India

[SpaceFactsWax]

Thank you for sharing. I had the opportunity to witness a rocket launch in 2018. Memorable experience. I shared a pretty fun montage of the journey to my channel.

[crisdmel]

I always use the Black Cat method it’s better to get the answer.

[cjandallo]

Sheeshhh galing naman kahit isa wla akong na intin dihan

[bobo-ccxw]

Only channel where slow mode is needed. Well played.

[angelmendez-rivera]

It does not telescope because if f(n) = 2·n – 1, then f(n + 1) is not equal to 2·n, but 2·n + 1.

For those who want to know how you would prove that this series is equal to ln(2), notice that this series is equal to the limit of a sequence, that sequence defined by g(0) = 0, g(n + 1) = g(n) + 1/(2·n + 1) – 1/(2·n + 2) for all n. It can be proven by mathematical induction that if h is defined by h(0) = 0, h(n + 1) = h(n) + (–1)^n/(n + 1) for all n, then g(n) = h(2·n) for all n. Therefore, lim g(n) (n —> ♾) = lim h(2·n) (n —> ♾). Interestingly, it is well known that lim h(n) (n —> ♾) exists, since h(n) is simply the alternating sequence of harmonic numbers. As such, lim h(2·n) (n —> ♾) = lim h(n) (n —> ♾). As for what is the value of this limit, notice that the sequence of Taylor polynomials T(0, x) = 0, T(n + 1, x) = T(n, x) + (–1)^n·x^(n + 1)/(n + 1) converges. That is, lim T(n, x) (n —> ♾) = ln(1 + x) for all |x| < 1 or |x| = 1, excluding x = –1, according to Taylor's theorem. Furthermore, T(n, 1) = h(n). Therefore, lim h(n) (n —> ♾) = lim T(n, 1) (n —> ♾) = ln(1 + 1) = ln(2).

[nyxmiloq]

Top 10 speedrunners Siglemic was too afraid to challenge

[tejasbaid]

The question in the thumbnail does telescope. Though not the real question

[tigerrx]

Yes! Natural logs! My favorite! Do more, do more!

[vladimirbuster]

I can speak 7 languages except the one language I can't seem to master...math

[enslavedcontent]

Dis dude makes godzilla from eminem look like a joke

[kaaiplayspiano]

Idfk what hes saying but these videos make me happy

[aashishbathe]

That's partial fractions isn't it? And it is used in integration. Why is it used here? Is this also a method to solve?

[MichaelSmith-rhok]

Shows us this 1 problem then gives a quiz the next day

[burhannaj]

What did i saw that equation??that guy wrong Equation A &B..