- #1
AlexandraMarie112
- 16
- 1
Homework Statement
f(x)= (sincx/x) ; x<0
1+(c)(tan2x/x) ; x≥0
Homework Equations
The Attempt at a Solution
Lim as x tends to 0+[/B] = 1+c⋅2⋅(sin2x/2x)⋅(1/cos2x) =1+c⋅2⋅1⋅1= 1+2c
Lim as x tends to 0 - = (sincx/x)=(c/1)⋅(sinx/x)=c⋅1=c
Equating both: 1+2c=c
c=-1
∴For the function to be continuous at x=0, c=-1
Is my answer correct?