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Evaluate the following limit: underset( ...

Evaluate the following limit: `underset( x rarr 4) ( "lim")(2-sqrt(x))/(4-x)`

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`(lim)_(x->4)(2-sqrt(x))/(4-x)`

`(lim)_(x->4)(2-sqrt(x))/((2-sqrt(x))(2+sqrt(x)))`

`(lim)_(x->4)(1)/(2+sqrt(x))`

`=(1)/(2+sqrt(4))`

`=(1)/(2+2)=1/4`

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