Question

given the function g(x)= (1-cosx)/x , x not equal to 0, b, x=0 what is the value of b that will make g(x) a continuous function

Answer 1

you need the limit as x->0

\[b = \lim_{x \rightarrow 0} \frac{1-\cos x}{x} = 0 \]

Answer 2

the question is not clear!

Answer 3

http://en.wikipedia.org/wiki/Limit_of_a_function#Limits_of_special_interest

Answer 4

@xapproachesinfinity , its a piecewise function that equal "b" when x=0

Answer 5

Oh i see
so the function is b when x=0
i didn't get the question the way he put it