The condition for removal discontinuity is ____________(a) Left hand limit = right hand limit ≠ function value(b) Left hand limit ≠ right hand limit = function value(c) Right hand limit ≠ left hand limit = function value(d) Left hand limit ≠ right hand limit ≠ function valueThe question was posed to me during an internship interview.Question is from Limits in portion Beyond the Basics of MATLAB

The condition for removal discontinuity is ____________(a) Left hand l

1.	The condition for removal discontinuity is ____________(a) Left hand limit = right hand limit ≠ function value(b) Left hand limit ≠ right hand limit = function value(c) Right hand limit ≠ left hand limit = function value(d) Left hand limit ≠ right hand limit ≠ function valueThe question was posed to me during an internship interview.Question is from Limits in portion Beyond the Basics of MATLAB
Answer» Right choice is (a) Left hand limit = right hand limit ≠ FUNCTION value The BEST explanation: The condition of removal discontinuity is given by option Left hand limit = right hand limit ≠ function value only. Rest are incorrect because the two conditions of removal discontinuity is limn→n0 f(n) < ∞and f(n0) < ∞. So the function should have equal VALUES while reaching the limiting value from both directions and it should have a finite value at the limiting value. But since there is a discontinuity at the limiting value, the values after APPROACHING the function from both directions is not equal to the function value at the limiting value.

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