Recent content by ammsa

Thank you!, I just answered it, i just want to make it sure its correct. I got the limit as x ---> 1+ of ( ax^2 + b ) = a + b and then the limit as x ---> 1- of ( 4 - x ) = 3 to make the function continuous, a+b must = 3 ------ we get the derivative of ax^2 + b, which is 2ax and...

Homework Statement Consider the function f(x) = { ax^2 + b if x >= 1 4 - x if x<1 for which values of a and b does this function have a derivative at 1? Homework Equations The Attempt at a Solution Can someone explain to...

Homework Statement how do u approach a question like that? write an equation that satisfy the following simultaneously a) the domain of f is (-Infinity, 0) U (0,infinity) b) f is continuous on its domain (that is everywhere except at x = 0) c) lim f(x) as x--> 1- (from the left) = -...

Homework Statement consider the function f(x) = (4 - x) / (2 - \sqrt{x}). define a new function g(x) = f(x) for all x except 4 and such g(x) is continuous at 4.The Attempt at a Solution i got the limit of the f(x) when x approches 4 and i got 4 as the final answer. here's how i did it, 1)...