- #1
lLovePhysics
- 169
- 0
I'm wondering what the best way is to solve:
[tex]\lim_{x \rightarrow 3^{-}} \frac{x}{\sqrt{x^2-9}}[/tex]
I'm pretty sure that f(x) is not equal to zero but I can't seem to manipulate it to cancel out (x-3). Also, when solving these types of problems, can you use the same rules as regular limits and substiute accordingly to obtain the limit as x approaches 3 from the right or left? Do people usually solve these problems analytically or graphically? I guess if you understand the function and can visualize it and know the laws and whatnot you can solve it analyitically right?
In a nutshell, what is the simplest method into solving these problems accurately and quickly? (One that provides enough proof)
[tex]\lim_{x \rightarrow 3^{-}} \frac{x}{\sqrt{x^2-9}}[/tex]
I'm pretty sure that f(x) is not equal to zero but I can't seem to manipulate it to cancel out (x-3). Also, when solving these types of problems, can you use the same rules as regular limits and substiute accordingly to obtain the limit as x approaches 3 from the right or left? Do people usually solve these problems analytically or graphically? I guess if you understand the function and can visualize it and know the laws and whatnot you can solve it analyitically right?
In a nutshell, what is the simplest method into solving these problems accurately and quickly? (One that provides enough proof)