First Order Consecutive Reactions with Equal Rate Constants

Question:
What happens when k₁ = k₂ in equation,

Mathematically, it is clear that we get an undefined answer, so we need to develop another way to evaluate the expression in the limit when k₁ approaches k₂ . (Hint: Consider I‘Hôpital’s rule.)

This is the problem 2.19 of the book “Chemical Kinetics and Reaction Dynamics, written by Paul L. Houston”.

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