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lim(xrarr3) x+3...

`lim_(xrarr3) x+3`

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To solve the limit \( \lim_{x \to 3} (x + 3) \), we can follow these steps: ### Step 1: Substitute the value of \( x \) We start by substituting \( x \) with the value it approaches, which is 3. \[ \lim_{x \to 3} (x + 3) = 3 + 3 \] ...
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Knowledge Check

  • The value of lim_(xrarr3)(x^5-3^5)/(x^8-3^8) is equal to

    A
    `5/8`
    B
    `5/(64)`
    C
    `5/(216)`
    D
    `1/(27)`

  • If P(x) is a polynomial such that P(x)+P(2x)=5x^2-18 , then lim_(xrarr3) (P(x))/(x-3) , is

    A
    6
    B
    9
    C
    18
    D
    0

  • Evaluate: lim_(xrarr3) (x^(2)-4x+3)/(x^(2)+6x- 27)

    A
    `1/2`
    B
    `1/3`
    C
    `1/6`
    D
    `1`

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    Explore conceptually related problems

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    Let f(x)={{:((|x-3|)/((x-3))",",xne3),(0",",x=3.):} Show that lim_(xrarr3)f(x) does not exist.

    lim_(xrarr3) (x^(2)+x-12)/(x^(2)-2x-3)

    lim_(xrarr0) (3 tan3x-4 tan2x-tanx)/(4x^(2)tanx)

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