Recent content by e.gedge

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    Graduate How Are Lagrange Polynomials Computed and Proven?

    Lagrange Polynomals are defined by: lj(t)= (t-a0) ...(t-aj-1)(t-aj+1)...(t-an) / (aj-a0)...(aj-aj-1)(aj-aj+1)...(aj-an) A) compute the lagrange polynomials associated with a0=1, a1=2, a2=3. Evaluate lj(ai). B) prove that (l0, l1, ... ln) form a basis for R[t] less than or equal to n...
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    Graduate Proving Convergence of Sequence an: limn→∞an

    As in, 2n choose n
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    Graduate Proving Convergence of Sequence an: limn→∞an

    that was supposed to be ( 2n ) ( n )
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    Graduate Proving Convergence of Sequence an: limn→∞an

    Let an= ( 2n ) 4-n, for all n greater than or equal to 1 ( n ) Prove that sequence an converges to a limit, and find limn->infinityan.
    • e.gedge
    • Thread
    • Convergence Sequence
    • Replies: 3
    • Forum: Calculus
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    Graduate Show that Polynomials p0 to pn Form Basis of F[t] ≤ n

    oh, nevermind, i got it now. Thanks a ton for the help!
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    Graduate Show that Polynomials p0 to pn Form Basis of F[t] ≤ n

    Uhh... I am pretty sure that i ca do the span part, but i still am unsure as to how to go about proving that all a's must equal 0
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    Graduate Show that Polynomials p0 to pn Form Basis of F[t] ≤ n

    Quick a easy question i need help with, so thanks to anyone who will try it out.. Show that the polynomials p0= 1 + x + x2+ x3...+ xn, p1= x + x2+ x3... +xn, p2= x2 + x3 +...+ xn, ... pn=xn form a basis of F[t] less than or equal to n Thanks! xo