(a) State the limit definition of the derivative of a function f at the point x = a. (b) Use (a) to find f'(0). f(x)={x^2cos(ln|x|) if x =/= 0 {0 if x=0 I'm pretty sure you use the squeeze theorem
Follow Math Help Forum on Facebook and Google+
Hi The cosine of any expression is always between -1 and 1
Originally Posted by ryno16 (a) State the limit definition of the derivative of a function f at the point x = a. (b) Use (a) to find f'(0). f(x)={x^2cos(ln|x|) if x =/= 0 {0 if x=0 I'm pretty sure you use the squeeze theorem The limit definition of is Now for a=0, this means (*) But since Apply squeeze theorem to conclude that f('0) = 0.
View Tag Cloud