For x>0, let f(x) be the minimum value of |X-\sqrt{m^{2}+2 n^{2}}| for all integers m, n. Then \lim_{x \to \infty} f(x) is equal to

JEE Advanced 2020 Full Test 1 Paper 2

Question : 42 of 54

Marks: +1, -0

For x>0, let f(x) be the minimum value of |X−√m2+2n2| for all integers m,n. Then

lim

x→∞

f(x) is equal to

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