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Let f(x) denote the departement f(x)...

Let f(x) denote the departement
`f(x)=|{:(x^2,2x,1+x^2),(x^2+1,x+1,1),(x,-1,x-1):}|`
on expansion f(x) is sen to be a 4th degree polynomial given by
`f(x)=a_0x^4+a_1x^3+a_2x^2+a_3x+a_4`
Using defferentiation of otherwise, match the values of the uantities on the left to those on the right.

Text Solution

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The correct Answer is:
A(p), B(q), C(r ), D(s)
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Knowledge Check

  • Let f : R to and f (x) = (x (x^(4) + 1) (x+1) +x ^(4)+2)/(x^(2) +x+1), then f (x) is :

    A
    One-one, into
    B
    Many one, onto
    C
    One-one, onto
    D
    Many one, into

  • If f(x) {:(=(x^(2)-4x+3)/(x^(2)-1)", ..."x!=1 ),( =2", ..."x=1):} then :

    A
    ` lim_(x to 1^(+) ) f(x) = 2 `
    B
    ` lim _(x to 1^(-)) f(x) = 3 `
    C
    f(x) is dicontinuous at x = 1
    D
    none of these