fucontinuous at x=1
i feel yes it is!book says not!
2)
f(-h) = -1
f(h) = 2h+1
where h is a "small" positive number (however small u want)
g(h)=f(h) + f(h) = 2h+1 + 2h+1 = 4h+2
g(-h) = f(h) + |f(-h)| = 2h+1 + |-1| = 2h+2
limiting value from both sides = 2
g(0) = f(0)+|f(0)|=1+1=2
u must have done some silly mistake!