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Let \( \mathrm{f}: \mathrm{R} \rightarrow \mathrm{R} \) be defined as
[JEE Main-2020 (September)]
P
\[
f(x)=\left\{\begin{array}{cc}
x^{5} \sin \left(\frac{1}{x}\right)+5 x^{2}, & x0 \\
0, & x=0 \\
x^{5} \cos \left(\frac{1}{x}\right)+\lambda x^{2}, & x0
\end{array}\right.
\]
W
The value of \( \lambda \) for which \( f^{\prime \prime}(0) \) exists, is \( - \)
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