XenoWolf
Feb19-08, 09:10 PM
I'm not looking for the complete answer (from what I've read in the intro posts, you won't/shouldn't give it to me anyways)... I just need to figure out where to start. This is my first time taking calc, and I'm pretty lost. Thanks in advance.
1. The problem statement, all variables and given/known data
Find the values of the constants a and b such that
lim (x\rightarrow0) [ ( \sqrt{a+bx} - \sqrt{3} ) / x ] = \sqrt{3}
3. The attempt at a solution
I've attempted to solve it a couple of ways in an algebraic style, but the fact that there are three 'variables' has me stumped. I also tried using the limit property that states the limit of h(x)=f(x)/g(x) as x->c is L/K (I hope I got that right.. hah.) but the fact that K ends up being zero screws that up...
I'm just completely lost as to where I need to start the problem. I don't know if I should be solving for a variable, doing trial-and-error stuff, using some kind of limit property, etc.
1. The problem statement, all variables and given/known data
Find the values of the constants a and b such that
lim (x\rightarrow0) [ ( \sqrt{a+bx} - \sqrt{3} ) / x ] = \sqrt{3}
3. The attempt at a solution
I've attempted to solve it a couple of ways in an algebraic style, but the fact that there are three 'variables' has me stumped. I also tried using the limit property that states the limit of h(x)=f(x)/g(x) as x->c is L/K (I hope I got that right.. hah.) but the fact that K ends up being zero screws that up...
I'm just completely lost as to where I need to start the problem. I don't know if I should be solving for a variable, doing trial-and-error stuff, using some kind of limit property, etc.