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  1. If k = 1, then this series diverges by the nth term test, because lim(n→∞) n! = ∞. ---------- Assuming k > 1, now we use the Ratio Test: r = lim(n→∞) [((n+1)!)^2 / ( k ...

    1 Answers · Science & Mathematics · 07/04/2013

  2. y = 2x + k ← this is a line y = x² + kx + 5 ← this is a curve y = y → 2 points → 2 solutions for x x² + kx + 5 = 2x + k x² + kx + 5 - 2x - k = 0 x² + x.( k - 2) + (5 - k ) = 0 Polynomial...

    3 Answers · Science & Mathematics · 22/01/2016

  3. f(x) = k - x² ← this is the curve y = 4x - 9 ← this is the line ... us only one point, so only one solution to the equation 4x - 9 = k - x² x² + 4x - 9 - k = 0 x² + 4x - (9 + k ) = 0 ...

    4 Answers · Science & Mathematics · 24/09/2015

  4. a[ k ] = 1/ln( k )^ln( k ) a[ k +1] = 1/ln( k (1+1/ k ))^ln( k +1) = 1/( ln( k ) + ln(1+1/ k ))^ln( k +1) = 1/ ( ln( k )^ln( k +1) ( 1+ (ln(1+1/ k )/ln( k ) )^ln( k +1) a[ k ]/a[ k +1] =ln( k )(1+(ln...

    3 Answers · Science & Mathematics · 18/04/2007

  5. "Solve for k in terms of k " doesn't make sense: k = k is obvious. I...thing and see if we can get a cleaner statement of the relationship between x and k : log(base2)x+log(base2)(x+5)= k log(base2) [x(x+5)] = k {by properties of...

    2 Answers · Science & Mathematics · 19/10/2009

  6. ========= x^2 + k + 6 = kx +3x x^2 -x( k +3) + ( k +6) = 0 The equation will have equal ... happens when the discriminant is zero. So, solve ( k +3)^2 - 4( k +6) = 0 k ^2 + 6k + 9 - 4k - 24 = 0 k ^2 + 2k - 15 = 0 ( k +5)( k -3...

    2 Answers · Science & Mathematics · 14/10/2012

  7. y = k √x y' = k / 2√x Now if the given line is tangent to y = k √x then the slope of the line equals k / 2√x so k / 2√x = 5 k = 10...

    1 Answers · Education & Reference · 16/02/2010

  8. This only true if K is also a metric space. Otherwise there are counterexamples.... Now to prove the claim: Forward direction: Suppose K is compact and A = (x_n) is a sequence in K . We...

    2 Answers · Science & Mathematics · 16/10/2010

  9. Hello, x³ – ( k + 1)x + 2k = 0 = = = = = = = = = = = = = = = = = = = = = = Obviously, if k =0, we obtain... prime and k ≠0: Then 2k has four divisors: 1, 2, k and 2k. Rational root theorem induce that if a rational root exists...

    2 Answers · Science & Mathematics · 10/12/2012

  10. k =ideal gas constant k =universal gas constant k =constant proportional k =0.08205 L.atm/mol. K (if you're gonna use liter) or k =82.05ml.atm/mol. K (if you're gonna use ml) k is also be R it ...

    1 Answers · Science & Mathematics · 28/04/2008

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