Let fx=xx^2+xx^2+xx^2+xx^2, ∀x∈0,10 (where · and · are the greatest integer and fractional part functions respectively). The number of points of…

Question

Let fx=xx^2+xx^2+xx^2+xx^2, ∀x∈0,10 (where · and · are the greatest integer and fractional part functions respectively). The number of points of discontinuity of fx is

MARKS Content Team · Accepted Answer

Correct answer: 0. fx=xx^2+x^2+xx^2+x^2 =x+xx^2+x^2 =x.x^2=x^3 Hence, fx is continuous ∀x∈0,10

Let $f (x) = [x] \{x^{2}\} + [x] [x^{2}] + \{x\} [x^{2}] + \{x\} \{x^{2}\}, \forall x \in [0,10]$ (where $[\cdot]$ and $\{\cdot\}$ are the greatest integer and fractional part functions respectively). The number of points of discontinuity of $f (x)$ is

Solution

More Continuity and Differentiability Questions

Let fx=xx2+xx2+xx2+xx2, ∀x∈0,10 (where · and · are the greatest integer and fractional part functions respectively). The number of points of discontinuity of fx is

Solution

More Continuity and Differentiability Questions

Let $f (x) = [x] \{x^{2}\} + [x] [x^{2}] + \{x\} [x^{2}] + \{x\} \{x^{2}\}, \forall x \in [0,10]$ (where $[\cdot]$ and $\{\cdot\}$ are the greatest integer and fractional part functions respectively). The number of points of discontinuity of $f (x)$ is