Question

Determine values of a and b that make the given function continuous .

16sinx÷x

f(x)= a

bcosx



It's a bicewise function

Answer 1

I think we need more information. f(x) = 16 sin x + x for what values of x? f(x) = a, for what values of x? f(x) = b cos x for what values of x?

Answer 2

16sinx/x if x <0

f(x)= a if x=0

bcosx if x>0

Answer 3

a=16
b=16
lim (sinx)/x = 1
therefore lim 16(sinx)/x = 16
so a = 16 and for b cos x to = 16, b = 16

Answer 4

thanks for helping me