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Let f(x)=⎧⎪⎪⎨⎪⎪⎩limn→∞(|x+1|n+x2|x|+x2n);−6≤x<0{sinx};0≤x≤6 where {k} denotes the fractional part of k.Then number of points at which f is not differentiable in (−6,6) is equal to |
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Answer» Let f(x)=⎧⎪ ⎪⎨⎪ ⎪⎩limn→∞(|x+1|n+x2|x|+x2n);−6≤x<0{sinx};0≤x≤6 where {k} denotes the fractional part of k. Then number of points at which f is not differentiable in (−6,6) is equal to |
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