# How do you find the limit of #sqrt(3x^2+2y^2)# as #(x,y)# approaches #(5,4)#?

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To find the limit of sqrt(3x^2+2y^2) as (x,y) approaches (5,4), we substitute the values of x and y into the expression. Thus, the limit is sqrt(3(5)^2+2(4)^2) = sqrt(75+32) = sqrt(107).

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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