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Let f(x) = {:{(x+a, x le1),(ax^2 + 1, x ...

Let `f(x) = {:{(x+a, x le1),(ax^2 + 1, x > 1):}`. Show that f is continuous at 1. Find 'a' so that it is derivable at 1.

A

a = 0

B

a = 1

C

all `a in R`

D

none of these

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