Question

Is the function f(x) = 1 /x− 1 continuous at x = 1? Explain.
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Answer 1

Faarax Mohammed shirwa search

Answer 2

no

Explanation:

f(x) =
`(1)/(x-1)`

at x = 1

f(1) =
`(1)/(1-1)` =
`(1)/(0)`

division by zero is undefined, thus there is a discontinuity at x = 1

so f(x) is not continuous at x = 1