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Question #04f88

↳Redirected from "How does Bohr improve Rutherford's atomic model?"

1 Answer

Mar 8, 2017

#1#

Explanation:

#x(sqrt(x^2+1)-sqrt(x^2-1))=(2x)/(sqrt(x^2+1)+sqrt(x^2-1))# and

#(2x)/(sqrt(x^2+1)+sqrt(x^2-1))=(2x)/(x(sqrt(1+1/x^2)+sqrt(1-1/x^2)))=#

#2/(sqrt(1+1/x^2)+sqrt(1-1/x^2))# so

#lim_(x->oo)x(sqrt(x^2+1)-sqrt(x^2-1))=lim_(x->oo)2/(sqrt(1+1/x^2)+sqrt(1-1/x^2))=2/2=1#

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