exponentiation : Math Help

Prove $\forall k\geq 4,\log(1+x_k)-x_k\leq {-1\over6k}$ where $x_k={(-1)^k\over\sqrt k}$

inequality logarithms exponentiation
Updated June 17, 2019 18:20 PM

Algebra Exponent GCSE exam question

algebraic-number-theory exponentiation
Updated June 17, 2019 06:20 AM

Why does multiplication by purely imaginary numbers, regardless of magnitude, not cause purely rotation?

complex-numbers vector-spaces exponentiation
Updated June 16, 2019 22:20 PM

How to raise a number to a quaternion power

exponentiation quaternions
Updated June 15, 2019 16:20 PM

Solving $\int ^{1}_{0}{(-1)^x}dx$

integration complex-numbers exponentiation
Updated June 12, 2019 05:20 AM

How is this read correctly (problem with brackets)? 2^2048 - 2^1984 - 1 + 2^64 * { [2^1918 pi] + 124476 }

calculus arithmetic computer-science exponentiation products
Updated June 10, 2019 23:20 PM

What is the exact definition of a rational power?

irrational-numbers exponentiation
Updated June 10, 2019 12:20 PM

Can you precisely calculate $x^{\pi}$ (up to first 200 decimals) without a computer

exponentiation pi
Updated June 08, 2019 00:20 AM

Negative 1 to the power of Infinity

limits infinity exponentiation
Updated June 07, 2019 12:20 PM

Can any Power function (whose base is not zero) , e.g. $2^{n}$, be defined arithmetically (i.e. using addition and multiplication only)?

elementary-number-theory exponentiation arithmetic-functions perfect-powers
Updated June 06, 2019 12:20 PM

help for tedious counting problem

exponentiation maxima-minima integers
Updated June 05, 2019 15:20 PM

Show that if $n>2$, then $(n!)^2>n^n$.

inequality exponentiation factorial faq
Updated June 04, 2019 05:20 AM

Is there a method for computing logarithms similar to Square and Multiply for exponentiation?

algorithms logarithms exponentiation
Updated June 02, 2019 01:20 AM

Why does $y=x^{2.999999\dotso}$ still look quadratic but $x^3$ is cubic?

quadratics exponentiation fractions cubic-equations
Updated May 31, 2019 17:20 PM

Radioactive Decay formula is $A=A_0e^{-kt}$. How many years until 10 grams decay so that only 8 remain

logarithms exponential-function special-functions exponentiation
Updated May 30, 2019 18:20 PM

Removing expressions from exponentials

exponential-function exponentiation
Updated May 30, 2019 12:20 PM

Estimating Area Exam Question

exponentiation area
Updated May 28, 2019 10:20 AM

Estimating square numbers

number-theory exponentiation rounding-unit
Updated May 28, 2019 06:20 AM

Why do the factorials appear in differences of consecutive powers?

exponentiation factorial
Updated May 27, 2019 23:20 PM

Estimating Square roots

number-theory exponentiation
Updated May 27, 2019 17:20 PM

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