Exercises

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Flash questionsShort drills on core skills, as cards to project or print.See the series

1120 exercises

Calculus assignment: the function ln(1 + x)/x and its associated sequence

Mathématiques – Analyse14 exercises

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Bounding 1/(1 + t)

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From 1/(1 + t) to ln(1 + x)

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Bounding the derivative of the auxiliary function g

The resulting bound on g

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The variations of f

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The limit of f at +∞

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The limit that yields differentiability at 0

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The tangent to the curve of f at 0

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The shape of the curve of f

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Convergence of the sequence

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The limit of the increments of the reciprocal sequence

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Bounding 1/ln(1 + x) − 1/x

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Bounding u(n) between 2/(n+2) and 4/(n+4)

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The limit of n·u(n)

Assignment: the Josephus problem

Mathématiques – Arithmétique10 exercises

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The function returning the last survivor

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Numerical application: the case of Josephus

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Numerical application: elimination two by two

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Returning the last p survivors

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Fifty good people and fifty villains

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The units digit in base 2

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Existence and uniqueness of the expansion

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Writing 41 in base 2

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The parity of the survivor

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The two recurrence relations