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Omni-MATH / If P(x) denotes a polynomial of degree n such that P(k)=(k)/(k+1) for k=0,1,2,…,n , determine P(n+1) .

Problem

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problem

If P(x)P(x) denotes a polynomial of degree nn such that P(k)=kk+1P(k)=\frac{k}{k+1} for k=0,1,2,…,nk=0,1,2,\ldots,n , determine P(n+1)P(n+1) .
Plain-text mathematical notation (without MathML)
If P(x) denotes a polynomial of degree n such that P(k)=(k)/(k+1) for k=0,1,2,…,n , determine P(n+1) .
Original LaTeX notation
If $P(x)$ denotes a polynomial of degree $n$ such that \[P(k)=\frac{k}{k+1}\] for $k=0,1,2,\ldots,n$ , determine $P(n+1)$ .

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Source and history

task_id
e736fb4a-9c24-5520-933d-f9874d634ce6
task_key
test--e736fb4a-9c24-5520-933d-f9874d634ce6
task_revision_id
1
config / split
/ test

Official source

initial import