8+个8 Let f(x) and g(x) two functions defined in R. Suppose L = R, and lim f(x) = L, lim_g(x) = +∞. Prove: lim fog(x) = L. 8+←8

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 47E
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8+个8
Let f(x) and g(x) two functions defined in R. Suppose L = R, and lim f(x) = L,
lim_g(x) = +∞.
Prove: lim fog(x) = L.
8+←8
Transcribed Image Text:8+个8 Let f(x) and g(x) two functions defined in R. Suppose L = R, and lim f(x) = L, lim_g(x) = +∞. Prove: lim fog(x) = L. 8+←8
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