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Category: Relation and Functions

1-prove-that-a-b-R-2-sinb-sina-b-a-2-let-give-the-sequence-x-0-0-and-x-n-1-a-1-2-sin-x-n-prove-that-for-m-n-x-m-x-n-a-2-n-1-3-prove-that-x-n-is-convergent-an

Question Number 33596 by abdo imad last updated on 19/Apr/18 1)provethat(a,b)R2sinbsina∣⩽∣ba2)letgivethesequencex0=0andxn+1=a+12sin(xn)provethatformn$$\mid{x}_{{m}} \:−{x}_{{n}} \mid\:\leqslant\:\:\frac{\mid{a}\mid}{\mathrm{2}^{{n}−\mathrm{1}} } \