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

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

Mathematics
1 answer:
rosijanka [135]2 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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Read 2 more answers
3. What are the roots of the polynomial y = x³ - 8?
zzz [600]

Step-by-step explanation:

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{a}^{3}  -  {b}^{3}  = (a - b)( {a}^{2}  + ab +  {b}^{2} )

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So

a=x

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Set these equations equal to zero

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x = 2

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If we do the discriminant, we get a negative answer so we would have two imaginary solutions,

Thus the only real root is 2.

If you want imaginary solutions, apply the quadratic formula.

1 + i  \sqrt{ 3 }

and

1 - i \sqrt{3}

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What are the 2 shapes
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