Hi, I'm having some difficulty in recognising what new improper integral to create when doing a comparison test.
IS there a step-by-step logical approach that could be used?
My understanding is, we do comparison tests because the improper integral being dealt with is too difficult to integrate. I understand the rules in that if f(x)>g(x)
then f(x) is divergent if g(x) is divergent and g(x) is convergent if f(x) is convergent.
But, I don't understand a few problems:
So, for example,
If you could look at 6b, and the solutions to 6b.
I don't understand what the solutions mean when they say "Use x< x^1/4"
The same with 6c. Why have they said 'use 1/3y^4' ?
I managed to work out 6a myself. are there flaws in the solutions? What am I missing here..
Additionally, in regards to the matrices question at the top, what method is being referred to there? Is it asking for me to use row operations?