93. Suppose that we know the reciprocal rule for limits: If 1 1 lim g(x) = M exists and is nonzero, then lim M xe g(x) This limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.

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93. Suppose that we know the reciprocal rule for limits: If
1
1
lim g(x) = M exists and is nonzero, then lim
M
xe g(x)
This limit rule is tedious to prove and we do not include
it here. Use the reciprocal rule and the product rule for
limits to prove the quotient rule for limits.
Transcribed Image Text:93. Suppose that we know the reciprocal rule for limits: If 1 1 lim g(x) = M exists and is nonzero, then lim M xe g(x) This limit rule is tedious to prove and we do not include it here. Use the reciprocal rule and the product rule for limits to prove the quotient rule for limits.
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