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katen-ka-za [31]
3 years ago
14

Evaluate limit: lim x approaches 0 e^(5x)-1-5x/x^2

Mathematics
1 answer:
rosijanka [135]3 years ago
8 0
Lim as x approches 0 of (e^(5x) - 1 - 5x)/x^2 = lim as x approaches 0 of (5e^(5x) - 5)/2x = lim as x approaches 0 of 25e^(5x)/2 = 25/2 = 12.5
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ivann1987 [24]
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-(3 sqrt(2) - 4) = 4 - 3 sqrt(2):
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Multiply numerator and denominator of (4 - 3 sqrt(2))/(2 - sqrt(3)) by sqrt(3) + 2:
((4 - 3 sqrt(2)) (sqrt(3) + 2))/((2 - sqrt(3)) (sqrt(3) + 2))

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((4 - 3 sqrt(2)) (sqrt(3) + 2))/1 = (4 - 3 sqrt(2)) (sqrt(3) + 2):
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