Can someone solve for this problem ? Thank you so much !!!

1. Define h(2) so that IS CONTINUOUS AT X =1

2. wHAT VALUE SHOULD BE ASSIGNED to b to make the function

g (x) = { x^3 , x < 1/2

{ bx^2 ,x > and equal 1/2

3. Explain why the limits exist and give their values . Support with graphing utility !!

X--> 0

Thank you !!!