Let f,g and h be three functions defined asf(x)={xfor|x|≤11for|x|>1,g(x)=⎧⎪⎨⎪⎩cos(π2x)for|x|≤1|x−1|for|x|>1and h(x)=⎧⎪⎨⎪⎩|x|−1loga|x|for|x|≠1lnafor|x|=1 for a>0 and a≠1If l,m,n denote the number of points of discontinuity of the functions f,g and h in their domain respectively, over R, then (l,m,n) is

Let f,g and h be three functions defined asf(x)={xfor|x|≤11for|x|>1,

1.	Let f,g and h be three functions defined asf(x)={xfor\|x\|≤11for\|x\|>1,g(x)=⎧⎪⎨⎪⎩cos(π2x)for\|x\|≤1\|x−1\|for\|x\|>1and h(x)=⎧⎪⎨⎪⎩\|x\|−1loga\|x\|for\|x\|≠1lnafor\|x\|=1 for a>0 and a≠1If l,m,n denote the number of points of discontinuity of the functions f,g and h in their domain respectively, over R, then (l,m,n) is
Answer» Let $f, g$ and $h$ be three functions defined as $f (x) = {\begin{matrix} x & for \| x \| \leq 1 1 & for \| x \| > 1 \end{matrix},$ $g (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} cos (\frac{π}{2} x) & for \| x \| \leq 1 \| x - 1 \| & for \| x \| > 1 \end{matrix}$ and $h (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} \frac{\| x \| - 1}{{log}_{a} \| x \|} & for \| x \| \neq 1 ln a & for \| x \| = 1 \end{matrix}$ for $a > 0$ and $a \neq 1$ If $l, m, n$ denote the number of points of discontinuity of the functions $f, g$ and $h$ in their domain respectively, over $R$ , then $(l, m, n)$ is