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Write the formal notation for the principle \"the limit of a quotient is the quo

ID: 2879690 • Letter: W

Question

Write the formal notation for the principle "the limit of a quotient is the quotient of the limits" and include a statement of any restrictions on the principle. lim_x-0 g(x)/f(x) = g(a)/f(a) If lim_x-a g(x) = M and lim_x-a f(x) - L, then lim_x - a g(x)/f(x) = lim_x-a g(x)/lim_x-a f(x) = M/L provided that L notequalto 0 lim_x-a g(x)/f(x) = g(x)/f(a), provided that f(a) notequalto 0. If lim_x-a g(x) = M and lim_x-a f(x) = L, then lim_x-a g(x)/f(x) = lim_x-a g(x)/lim_x-a f(x) = M/L provided that f (a) notequalto 0

Explanation / Answer

limit of quotient is equal to limit of denominator and numerator
which will become M/L

Obviouly L must not be 0 because in this case, M/L is undefined

Answer: B