Consider the following function g(x) = { 0 if x 1 1 if x > 1| How close must the

Question

Consider the following function g(x) = { 0 if x 1 1 if x > 1| How close must the input be to x = 1.8|so that is within 0.1 of 1? If the input is 10 units to the right of 1, will the output be within 0.01 of 1? If the input is 10 units to the left of 1, will the output be within 0.01 of 1? If the input is 1 unit to the left of 1, will the output be within 0.01 of 1? If the input is 0.001 units to the left of 1, will the output be within 0.01 of 1? Is there a positive number d so that within 0.01 of 1 if x|is within d]of 1?

Explanation / Answer

Since both peace function are constant function, so out will remain 1 for all the values of x greater than 1 and output will remain 0 for all the values of x less than or equal to 1.

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