If your daughter is not going to learn that 1) x^2 is much smaller than sqrt(x) for x small. Or to know how 2) how to computer the tangent line of y=sin(2x), then I think she will not be able to appreciate how to…
Perhaps you don't need to solve any limit because computers can do that for you, but when you try to solve a problem in your mind if you know limits you don't need a computer all the time, you just need to know that…
You don't need tricks to solve the limit of (x^2)sin(2x)/sqrt(x) as x->0, only to know equivalent infinitesimals, so that sin(2x) can be replaced by 2x in this limit and 2x^3/sqrt(x) can be simplified to 2x^(3-1/2) so…
If your daughter is not going to learn that 1) x^2 is much smaller than sqrt(x) for x small. Or to know how 2) how to computer the tangent line of y=sin(2x), then I think she will not be able to appreciate how to…
Perhaps you don't need to solve any limit because computers can do that for you, but when you try to solve a problem in your mind if you know limits you don't need a computer all the time, you just need to know that…
You don't need tricks to solve the limit of (x^2)sin(2x)/sqrt(x) as x->0, only to know equivalent infinitesimals, so that sin(2x) can be replaced by 2x in this limit and 2x^3/sqrt(x) can be simplified to 2x^(3-1/2) so…