At x=1: LHL =1+2=3, RHL =1−2=−1. Not continuous.
At x=2: LHL =2−2=0, RHL =0, f(2)=0. Continuous.
Discontinuous only at x=1.
The points of discontinuity of the function f defined by f(x)=⎩⎨⎧x+2x−20x≤11<x<2x≥2 are :
Held on 15 Jun 2023 · Verified 13 Jul 2026.
0 and 1
1 and 2
1
2
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