i don't understand how to find the values for c and b because i don't understand how i can use the point x=0 because the first part of the function has no c or b values. i have to use the last to equations at x=2, but how do i know what that limit is?
nevermind, that limit is actually 2. the limit for zero from the right also must equal 2, and the right and left limits at x=2 must also match.
thats all I've got.
Homework Statement
find the values of b and c that make the function f continuous on (-\infty,\infty)
f(x) = \frac{sin2x}{x} if x< 0
3-3c+b(x+1) if 0\leqx<2
5-cx+bx^2 if x\geq 2
Homework Equations
lim as x...