Let [t] denote the greatest integer less than or equal to t. Let {\f}:[0, \infty) \rightarrow {\R} be a function defined by f(x)= [\frac{x}{2}+3] -[\sqrt{x}]. Let S be the set of all points in the interval [0,8] at which {\f} is not continuous. Then \sum_{ {\a} \in {\S}} {\a} is equal to ______. [6 Apr 2024 Shift 2]

Limits, Continuity and Differentiability Part 3

Section: Mathematics

Question : 44 of 69

Marks: +1, -0

Let [t] denote the greatest integer less than or equal to t. Let f:[0,∞)⟶R be a function defined by f(x)=[‌

+3]−[√x]. Let S be the set of all points in the interval [0,8] at which f is not continuous. Then

∑

a∈S

a is equal to ______.

[6 Apr 2024 Shift 2]

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