SOLUTION: Evaluate limit as x approaches 1 at f of x for f of x equals the quantity 5 times x minus 11 for x less than 1, equals 1 for x equals 1 and equals negative 3 times x plus 6 for x g

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Question 1102893: Evaluate limit as x approaches 1 at f of x for f of x equals the quantity 5 times x minus 11 for x less than 1, equals 1 for x equals 1 and equals negative 3 times x plus 6 for x greater than 1.
A. 3
B. –6
C. 1
D. does not exist
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=5x-11,x%3C1
f%28x%29=1,x=1
f%28x%29=3x%2B6,x%3E1
As x approaches 1 from the left,
f%28x%29-%3E5%281%29-11
f%28x%29-%3E-6
As x approaches 1 from the right,
f%28x%29-%3E3%281%29%2B6
f%28x%29-%3E9
Since the limit approaching from the left and right are not equal, in addition the value at x=1 doesn't equal either value, then the limit does not exist.