#limits

53 messages · Page 1 of 1 (latest)

hidden steppe
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Is it possible to solve it without derivate ?

tardy spireBOT
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hidden steppe
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2.594

wheat burrow
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,rccw

rapid glacierBOT
wheat burrow
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https://en.wikipedia.org/wiki/Synthetic_division

Synthetic division

In algebra, synthetic division is a method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.
It is mostly taught for division by linear monic polynomials (known as Ruffini's rule), but the method can be generalized to division by any polynomial.
The advantages of synthetic div...

hidden steppe
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?

wheat burrow
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u hav learnt synthetic division?

hidden steppe
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Did you saw there is x^n

wheat burrow
hidden steppe
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And also its a limit

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How I'm supposed to do

wheat burrow
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or factorization of the dividend

hidden steppe
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Can you show me how is done?

wheat burrow
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in precalculus

hidden steppe
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I'm in grade 11

wheat burrow
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to do calculus, you're suppose to master basic algebra and geometry

hidden steppe
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I have other method to do but idk what I messed up so I want see your method

wheat burrow
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synthetic division is the quickest method

hidden steppe
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,w (x^n +x^(n+1) -2)/(x-1)

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@wheat burrow ok and what I get

rapid glacierBOT
wheat burrow
hidden steppe
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Nothing

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Your method is trash

wheat burrow
hidden steppe
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Ok solve my problem with your method

wheat burrow
hidden steppe
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Ok the

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Then

wheat burrow
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you can use synthetic division to carry out division directly

# 
1 | 1  1  0 ... -2
  |    1  2 ... 2
  ----------------
    1  2  2 ... 0
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the final '0' indicates that the remainder is 0

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what's on the left of 0 is the quotient

hidden steppe
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Ok so what is the final response

wheat burrow
hidden steppe
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Ok

spark pulsar
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I would have written $x^n+x^{n+1}-2=x^n-1+x^{n+1}-1$. With geometric series or identities we know the result of the division without having to perform it