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  4. lim x arrow 5 (√2 x-3-√3 x-8/√2 x-1-√3 x-6)=

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Q. $\lim _{x \rightarrow 5} \frac{\sqrt{2 x-3}-\sqrt{3 x-8}}{\sqrt{2 x-1}-\sqrt{3 x-6}}=$

Limits

Solution:

Rationalize the numerator and denominator and cancel the common factor and then substitute $x=5$.