4
Nov
2020
Question of the Day
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Calculate $\sum\limits_{n=1}^\infty \frac{1}{n^2+2n} $.
3
Nov
2020
Question of the Day
Calculate $\sum\limits_{n=1}^\infty \frac{1}{4n^2-1} $.
2
Nov
2020
Question of the Day
By use of the Squeeze Theorem calculate the limit $ \lim\limits_{n \to \infty } \frac{1}{\sqrt{n^2+1}} + \frac{1}{\sqrt{n^2+2}} + \frac{1}{\sqrt{n^2+n}} $.
1
Nov
2020
Question of the Day
Find the Maclaurin Series of $\frac{4x^2-3}{\left(1-x\right)\left(1-2x\right)^2}$ where $x$ is small i.e. less than $\frac{1}{2}$ in magnitude. But, you can’t use the formula for the Maclaurin Series however you may use the fact that $\frac{1}{1-x} = 1 + x + x^2 + x^3 + \cdots $.
1
Nov
2020
Question of the Day
By use of the Squeeze Theorem calculate the limit $ \lim\limits_{n \to \infty } \frac{1}{n^2+1} + \frac{1}{n^2+2} + \cdots + \frac{1}{n^2+n} $.
31
Oct
2020
Question of the Day
Calculate the limit $ \lim\limits_{n \to \infty } \frac{1}{ \sqrt{n+1}-\sqrt{n} } $.
30
Oct
2020
Question of the Day
Calculate the limit $ \lim\limits_{n \to \infty } \frac{6n^2-n}{2n^2-5n+4} $.
29
Oct
2020
Question of the Day
Calculate the limit $ \lim\limits_{n \to \infty } \frac{n^3-5n^2}{n^2-2n+1} $.
17
Oct
2020
Numerical Intuition
We all have a Number Sense but what you may not fully appreciate is that this Number Sense is drilled into us from Primary school. We are not born with much of a Number Sense nor do we naturally develop it untaught. The only Number Sense that is pre-wired is the sense of how... Read More
19
Aug
2020
ALL Leaving Cert Applied Maths Higher Level Solutions Since 1971!
That’s it, I’ve managed to get together all in one place every solution to every question to every Leaving Cert Applied Maths Higher Level Exam since 1971 to present. Why 1971? Well that is the first year of metric only questions therefore making it the “modern” style exam. I have no plans to put together... Read More