Let an 2n = 4n+1 (a) Determine whether {a} is convergent. ○ convergent ○ divergent °° (b) Determine whether convergent divergent n = 1 a is convergent.
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- Use definition of derivative to evaluate fx= xn. By binomial theorem.a) show whether or not fn(x) =sin(x/n) converges poinwise b) show whether or not fn(x) =sin(x/n) converces uniformly . c) show whether or not fn(x) =(1-x)xn converges uniformlyLet ∫∞−∞ f(x) dx be convergent and let a and b be real numbers where a ≠ b. Show that
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