Thank you so much these summaries are so much more helpful for revision before mocks and exam days if you could please do the same for mechanics and statistics that would be perfect
hi just a quick question - when we sub in x = 3, we get exactly root 7 so why wld it not be suitable if it gives the exact value. I understand its outside the range of validity but isnt it still technically valid if it gives us the answer 😅
So the reason we have the validity range to start with, is because if the value of x gets big, then when you sub into an expression that has things like x^3, x^4, etc. those values get REALLY big. The trick is to use small values of x, as then things like x^4 get really small and insignificant, so we can ignore high powers. If we didn't ignore high powers, we'd need to use the infinite series, instead of just the first few terms! Try subbing x=3 into it, you'll see it goes very far away from root 7!
Thank you so much these summaries are so much more helpful for revision before mocks and exam days if you could please do the same for mechanics and statistics that would be perfect
Yes, they'll be coming, eventually!
you gotta do this for stats and mechs oh my god this has been so great I usually forget everything this summary is so good
Thank you! Yes, these vids will be coming (eventually)!
Exactly what I needed to refresh my memory, great video as always Mr. Bicen 😁
love u honestly
hi just a quick question - when we sub in x = 3, we get exactly root 7 so why wld it not be suitable if it gives the exact value. I understand its outside the range of validity but isnt it still technically valid if it gives us the answer 😅
So the reason we have the validity range to start with, is because if the value of x gets big, then when you sub into an expression that has things like x^3, x^4, etc. those values get REALLY big. The trick is to use small values of x, as then things like x^4 get really small and insignificant, so we can ignore high powers. If we didn't ignore high powers, we'd need to use the infinite series, instead of just the first few terms! Try subbing x=3 into it, you'll see it goes very far away from root 7!
Listening to this while using the Japanese audio track hits different 😁
Ahhhh amazing - do you speak Japanese? Was it accurate?! I have listened in French which is strange, as I can understand French.
my goat