Question

if f(x)= x^2 for x < or equal to 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

Answer 1

for a) x approaches 1 does left limit=right limit=f(1)?
for b-d) find left derivative and right derivative and see if they are the same at x=1
for e) look at a

Answer 2

well i thought it was E but its not correct