The infimum of \(\int_0^1\left(u^{\prime}(t)\right)^2 d t\) of function

\(\left\{u \in C^1[0,1] \right\}\) such that u(0) = 0 and \(\left\{ \max _{[0,1]}|u|=1\right\}\) is equal to

1
0
2
1/2
3
1
4
2
5
Question Not Attempted

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