Limits and Continuity

Brian Knight and Roger Adams
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Brian Knight: Goldsmiths’ College
Roger Adams: Thames Polytechnic

Chapter 2 in Calculus I, 1975, pp 17-24 from Springer

Abstract: Abstract In this example we illustrate an intuitive idea of a limit, leaving the precise definition until example 6. Consider the function: f ( x ) = x − 1 x − 1 , ( x ∈ R + , x ≠ 1 ) $$ f(x) = \frac{{x - 1}}{{\sqrt x - 1}},\;(x \in {R^ + },x \ne 1) $$ The domain of definition excludes the point x = 1 because the expression (x = 1)/(√x = 1) gives the meaningless answer 0/0 when x = 1.

Date: 1975
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DOI: 10.1007/978-1-4615-6594-9_2

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