Pleast explain these through an example graph for each. Thank you so much

2. (limits/derivatives) Draw a function f() for each of the following cases i. f (r) is undefined at r = c. ii. f(x) is defined at a - c but the limit does not exist at =e. ili. f(x) has a limit at = = e but is not continuous at a - c. iv. f(x) is continuous at z - c but is not differentiable at s = c. v. f() is differentiable at a - c but f'(x) is not differentiable at r