Let f,g A→ R and suppose that c is a cluster point of A. If lim f(x) = L and 0 then using the sequential criterion for limits x-C lim g(x) = M, and if g(x) = 0 for all x € A, M x-c prove that f(x) lim x+c g(x) = L M
Let f,g A→ R and suppose that c is a cluster point of A. If lim f(x) = L and 0 then using the sequential criterion for limits x-C lim g(x) = M, and if g(x) = 0 for all x € A, M x-c prove that f(x) lim x+c g(x) = L M
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Transcribed Image Text:lim g(x)
x-c
prove that
=
x-c
Let f, g AR and suppose that c is a cluster point of A. If lim f(x) = L and
0 then using the sequential criterion for limits
M, and if g(x) 0 for all x € A, M
f(x)
lim
x→c g(x)
=
L
M'
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