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## Homework Statement

find the values of b and c that make the function f continuous on (-[tex]\infty[/tex],[tex]\infty[/tex])

f(x) = [tex]\frac{sin2x}{x}[/tex] if x< 0

3-3c+b(x+1) if 0[tex]\leq[/tex]x<2

5-cx+bx^2 if x[tex]\geq[/tex] 2

## Homework Equations

lim as x [tex]\rightarrow[/tex] 0- of [tex]\frac{sin2x}{x}[/tex]

works out to be 0