Very, very indeterminate

Calculus Level 3

L=lim⁡x→0+(log⁡cot⁡(x))tan⁡(x) \large L = \displaystyle \lim_{x\to 0^+} (\log \cot(x))^{\tan(x)}

If the number of digits of LL be aa, find L+aL + a

Vishwak Srinivasan by Vishwak Srinivasan
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