The adjacent figure is the graph of function . Give answers to the following questions. Name the…
Mathematics20252 marksShort answer
The adjacent figure is the graph of function $y = f(x)$. Give answers to the following questions.
(a)[1.0]
Name the type of discontinuity of the function.
(b)[1.0]
Give reason for your answer.
Answer
Answer (a)
Official answer key
Non removable discontinuity.
Answer (b)
Official answer key
From the graph, at $x = 1$, LHL $\neq$ RHL.
At $x = 1$, we cannot infer what the limit is, as L.H.L. $= 2$ and R.H.L. $= 1$. So the function is not continuous as there is jump discontinuity.
Hence, the function has non removable discontinuity at $x = 1$.
