cherrilyn
  • cherrilyn
LEIBNIZ TEST!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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cherrilyn
  • cherrilyn
why can't it be applied to..... 1/2 - 1/3 + 1/2^2 - 1/3^2 + 1/2^3 - 1/3^3... what method can be used to show convergence?
watchmath
  • watchmath
Is the absolute value sequence decreasing?
cherrilyn
  • cherrilyn
ummmmmmm. . . maybe? lol

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nowhereman
  • nowhereman
That sequence definitely looks like a zero-sequence to me, so the Leibniz-test can be applied. The series converges!
anonymous
  • anonymous
yep
cherrilyn
  • cherrilyn
um..it says it cannot be applied. and I have to explain why not.
cherrilyn
  • cherrilyn
It probably seems convergent because I don't know how to use the division sign on here :/
watchmath
  • watchmath
Between 1/2^n and 1/2^(n+1) you have 1/3^n. But now 1/2^n > 1/3^n < 1/2^(n+1) So the absolute value sequence is not decreasing, hence we can't apply the Leibniz's test!

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