Answer to Question #252399 in Calculus for Steve

Question #252399

Question 03

Write (and draw the graph of) a function which is

(a) Continuous on all points except at x = 1.

(b) Differentiable on all points except at x = 1.

(c) Non-differentiable at five points x = 1, x = 2, x = 3, x = 4 and x = 5.


1
Expert's answer
2022-01-18T10:36:32-0500

a,b)

"y=\\frac{1}{x-1}"




c)

"y=\\frac{1}{x-1}+\\frac{1}{x-2}+\\frac{1}{x-3}+\\frac{1}{x-4}+\\frac{1}{x-5}"





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