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Questions › IIT JAM › IIT JAM 2023 › Q46
1 markMathematics › Limits, continuity and differentiability › Continuity and discontinuitiesHardabout 3 min

IIT JAM 2023 Question 46: Limits, continuity and differentiability

Let [t][t][t] denote the greatest integer ≤t\le t≤t. The number of points of discontinuity of f(x)=[ x2−3x+2 ]f(x)=[\,x^2-3x+2\,]f(x)=[x2−3x+2] for x∈[0,4]x\in[0,4]x∈[0,4] is ________ (in integer).

Answer and worked solution

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Plain-text version

Let [t] denote the greatest integer ≤ t. The number of points of discontinuity of f(x)=[ x²-3x+2 ] for x∈[0,4] is (in integer).

Also written as: Let [t] denote the greatest integer <= t. The number of points of discontinuity of f(x)=[ x^2-3x+2 ] for x in [0,4] is (in integer).

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Continuity and discontinuities, part of Limits, continuity and differentiability in Mathematics.

When a function is continuous at a point and what kinds of breaks occur.

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