Asked by Emily
                I am having trouble with this question and I am unsure how to solve it...
True or False (with justification) The function
           
sin(x) if x ≤ 0
f(x) =
1+cos(x) if x>0
has a jump discontinuity at x = 0.
            
        True or False (with justification) The function
sin(x) if x ≤ 0
f(x) =
1+cos(x) if x>0
has a jump discontinuity at x = 0.
Answers
                    Answered by
            Steve
            
    true, since
sin(0) = 0
1+cos(0) = 2
That is, the left limit is 0
The right limit is 2
    
sin(0) = 0
1+cos(0) = 2
That is, the left limit is 0
The right limit is 2
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