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lim(x->1) {sqrt(x^2-1)+sqrt(x-1)}/{sqrt(...

`lim_(x->1) {sqrt(x^2-1)+sqrt(x-1)}/{sqrt(x^2-1)}`

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Evaluate lim_(xto1)(sqrt(x^(2)-1)+sqrt(x-1))/(sqrt(x^(2)-1)) if xgt1 .

Evaluate the following limits: lim_(xto0)(sqrt(x^2-1)+sqrt(x-1))/(sqrt(x^(2)-1))

Knowledge Check

  • lim_(xrarr1^+)(sqrt(x^2-1)+sqrt(x-1))/(sqrt(x^2-1))=

    A
    `(1)/(2)`
    B
    `sqrt(2)+1`
    C
    1
    D
    `1+(1)/(sqrt(2))`

  • lim_(x rarr 1) (sqrt(x-1) + sqrt(x-1))/(sqrt(x^(2)-1)) =

    A
    (1/2)
    B
    `sqrt2`
    C
    1
    D
    `1/sqrt2`

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