Sirus Glaceon
New member
- Joined
- Dec 29, 2016
- Messages
- 3
When we are trying to solve limits involving different powers on numerator and denominator, we will just simplily divide the whole function with the highest power. So I tried to apply this method in a limit as the following
lim x-∞ (1)/(√(x^2-x)-x), diving the both the denominator and numerator with √(x^2). However the result is wrong. I know that this limit has to be solved by multilying something like (a-b)(a+b). But why can't we divide a variable? And under what situation can we divide a variable in a infinity limit?
Many thanks and happy new year!
lim x-∞ (1)/(√(x^2-x)-x), diving the both the denominator and numerator with √(x^2). However the result is wrong. I know that this limit has to be solved by multilying something like (a-b)(a+b). But why can't we divide a variable? And under what situation can we divide a variable in a infinity limit?
Many thanks and happy new year!
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