if f(x)= x^2 for x≤ 1 , then
2x-1 for x 1

a) f(x) is not continuous at x=1
b)f(x) is continuous at x=1 but f'(1) doesn't exit
c) f'(1) exists and equals 1
d)f'(1)= 2
e) lim f(x) as x approaches 1 doesn't exist

Question

if f(x)=    x^2 for x≤ 1 , then  
              2x-1 for x >1

a) f(x) is not continuous at x=1
b)f(x) is continuous at x=1 but f'(1) doesn't exit
c) f'(1) exists and equals 1
d)f'(1)= 2
e) lim f(x) as x approaches 1 doesn't exist

anonymous · Answer

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