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Find the cofficients a and b such that t...

Find the cofficients a and b such that the following function f is continuous and differentiable at `x=+-1:`
`f(x)={{:((1)/(|x|)," when "|x|ge1),(ax^(2)+b," when " |x|lt1):}`

Text Solution

Verified by Experts

The correct Answer is:
`a=-(1)/(2) and"coefficient "b=(3)/(2)`
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