Limits, Continuity and Differentiability Part 1

Section: Mathematics
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Question : 2 of 100
 
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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