Prove that provided f(z) is analytic at Res (z = ∞0) = lim [-zf (2)] ZIX
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- Prove that limit of x^4cos2/x=0 , as x approaches zero.Show that g(x) = (x3-8) / (x-2) has a removable discontinuity at x = 2. How should g(2) be defined so that g is continuous at x = 2?If (an) has limit −1 and (bn) tends to infinity, does it follow that only finitely many terms of (anbn) are positive?