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Consider the function $y=|x|$ in the interval $[-1, 1]$. In this interval, the function is

1. continuous and differentiable

2. continuous but not differentiable

3. differentiable but not continuous

4. neither continuous nor differentiable

asked in Calculus | 186 views

(b) It is continuous but not differentiable at x=0 as left hand limit will be negative while the right hand limit will be positive but for differentiation, both must be same.
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