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11 Nov 2019
Using Weierstrass's definition of limit3, verify that the function f(x) defined f(x) = {1, if x is rational 0, if x is irrational has no limit at any value of x. Using Weierstrass's definition of limit, verify that the function f(x) defined f(x) = {x, if x is rational 0, if x is irrational has a limit at the point x = 0.
Using Weierstrass's definition of limit3, verify that the function f(x) defined f(x) = {1, if x is rational 0, if x is irrational has no limit at any value of x. Using Weierstrass's definition of limit, verify that the function f(x) defined f(x) = {x, if x is rational 0, if x is irrational has a limit at the point x = 0.