Taylor (log (1x),x) Natural Language Math Input NEWUse textbook math notation to enter your math Expansion of log(1x) Thread starter uppaladhadium;What is the expansion of log(1x)?
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Log(1+x) expansion proof-Exponential and Logarithmic Function and Series,Expansion of e^x,a^x and log(1x) xx Graph for exponential function Sourcewwwsheloves mathcom Exponential FunctionThe function which is in the form of $$\;y=f(x)=a^x,\;\;\;\;\;a>0$$ is called an exponential function in which the base a is constant and the power or index x is a variable TheExpanding Logarithms When you are asked to expand log expressions, your goal is to express a single logarithmic expression into many individual parts or componentsThis process is the exact opposite of condensing logarithms because you compress a bunch of log expressions into a simpler one The best way to illustrate this concept is to show a lot of examples
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#1 uppaladhadium 7 0 integrating term by term gives the series for log(1x), where the integration limits are 0,x Likes Adhruth Ganesh and ron John Sabu #4 uppaladhadium 7 0Ad by ClearClub Custom Night Guards How can I stop myself from grinding my teeth in my sleep? About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How works Test new features Press Copyright Contact us Creators
I am trying to find the limit of lim n → ∞ n log ( 1 ( f ( x) n) α) where f is some function f X → 0, ∞ and 1 ≤ α < ∞ in some other problem I am looking at I cannot use the expansion log ( 1 x) = x − x 2 2 ⋯ because we don't know if x < 1 I know that the answer is f ( x) for α = 1 and 0 for α > 1Free math lessons and math homework help from basic math to algebra, geometry and beyond Students, teachers, parents, and everyone can find solutions to their math problems instantly Replacing x by −x in the logarithmic series, we get Some Important results from logarithmic series (2) The series expansion of log e (1 x) may fail to be valid, if x is not less than 1 It can be proved that the logarithmic series is valid for x = 1 Putting x = 1 in the logarithmic series We get, (3) When x = −1, the logarithmic
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