# CM_Tutor's latest activity

• CM_Tutor reacted to tywebb's post in the thread textbooks Used for 4 unit with Like.
Version 7 of Howard's book is out now. With this many versions in just over a year he really needs to do a "changelog" so we know what...
• CM_Tutor replied to the thread Limiting Sum Help.
It is not true to say that a series must converge because it decreases (consider 1, 0, -1, -2, ...) nor that an increasing sequence must...
• The second equation here, -\cos{x} + 3 = 2 \implies \cos{x} = 1 is solvable, though
• CM_Tutor replied to the thread Help pls.
For part (c): Let the GP have a first term a. S_n = T_1 + T_2 + T_3 + ... + T_n = a + ar + ar^2 + ... ar^{n-1} = \frac{a(r^n - 1)}{r -...
• CM_Tutor replied to the thread Help pls.
For (b): Let the common first term of the series be a. S_n = a + ar + ar^2 + ... + ar^{n-1} = \frac{a(r^n - 1)}{r - 1} \Sigma_n = a +...
• For f(x) to be a PDF, we require \int_{-\infty}^{\infty} f(x) \, dx = 1 \begin{align*} \text{Here, we have LHS } &=...
• CM_Tutor replied to the thread Hard Proofs Question.
Very interesting, thanks for sharing. I agree that Stolz-Cesaro is definitely well outside the syllabus. I also note that the binomial...
• You might want to update this, you are talking about Q31 not Q37
• Thanks... though look to the next post covering the 2020 HSC where I think failing to extrapolate will be penalised. As for the...
• I have just posted https://boredofstudies.org/threads/bos-trials-maths-and-chemistry-2020.392093/page-6#post-7354045 a long comment on...
• Now, MrGresh, you go to ask a question. It is very much not being a doofus - first, because it is always good to ask questions, and...
• This is an interesting discussion, about which I would like to make a few points. Though I am not generally into arguments from claimed...
• CM_Tutor reacted to YonOra's post in the thread Sequence Q. with Wow.
Well, you always give great answers.
• CM_Tutor replied to the thread Sequence Q..
Thank you :)
• Looks like it fails the second condition