Question

Question no. 3 solve plz

Answer 1

-1 is your answer

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For both Left hand limit and right hand limit, the value will be the same. I will just show it for the left hand limit. You can work on similar lines to achieve RHL.

limx→1−(1−x+[x−1]+[1−x])limx→1−(1−x+[x−1]+[1−x])

For left hand limit x-1 will tend to 0

However for greatest integer function (second term) since x is slightly lesser than 1, x-1 tends to left side of zero and that under G.I.F. will be equal to -1.

For the third term since x is lesser than 1, 1-x will tend to right side of 0 and that under the G.I.F. will be equal to zero.

So the final limit will be equal to 0–1+0 = -1

Hope it helps

Answer 2

I think your answer is -1
Hope it helps