JEE Mains 06-Sep-2020 Shift 1 Solved Paper

Section: Mathematics

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Question : 75 of 75

Marks: +1, -0

Let f:R→R be defined as

f(x)={

x5‌sin(

1

x

)+5x2,

x<0

0,

x=0

x5‌cos(

1

x

)+λx2,

x>0

The value of λ for which f"(0) exists, is ______.

[6 Sep 2020 Shift 1]

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