This preview shows pages 1–2. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.View Full Document
Unformatted text preview: 0, then provided that is a real number. (If s is even, we assume that L > 0.) The limit of a rational power a function is that power of the limit of the function, provided the latter is a real number 2 THEOREM 2 Limits of Polynomials Can Be Found by Substitution If P(x) = THEOREM 3 Limits of Rational Function Can be Found by Substitution If the Limit of the Denominator Is Not Zero If P(x) and Q(x) are polynomials and Q(c) 0, then THEOREM 4 The Sandwich Theorem Suppose that g (x) f (x) h(x) for all x in some open interval containing c, f(x)=L THEOREM 5 If f(x) g(x) for all x in some open interval containing c, except possibly at x = c itself, and the limits of f and g both exist as x approaches c ,...
View Full Document