InterviewSolution
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InterviewSolution
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3. Discuss the continuity of the following functions.Which of these functions have a removable discon-tinuity? Redefine the function so as to remove thediscontinuity(i) flx) sin (r2-)-, for x0at x 0.2for x 0. |
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Answer» we check at x = 0so LHL is when x tends to 0sin(x²-x)------------ xso when x tends to we have 0/0 so use L'Hopitals rulecos(x²-x) × (2x-1)-------------------------- 1so when x tends to 0 cos(0) × (-1) = -1 so at x= 0, f(x) is not continuous,To remove it redefine f(x) = sin(x²-x) ------------ + 3 when x is not 0 x |
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