Discuss the continuity of in

MATHEMATICS · Subjective · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

Discuss the continuity of ff in [0,2][0, 2], where f(x)={∣4x−5∣[x],for x>1,[cos⁡πx],for x≤1,f(x)=\begin{cases} |4x-5|[x], & \text{for } x>1,\\ [\cos \pi x], & \text{for } x\le 1, \end{cases} where [x][x] is greatest integer not greater than xx.

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