lim_(x rarr2)sqrt(6x+13)=

Direct Substitution: To find the limit of the function sqrt(6x+13) as x approaches 2, we can directly substitute the value of x with 2, since there are no discontinuities or indeterminate forms that would prevent direct substitution.Substitute x with 2: Substitute x with 2 in the function sqrt(6x+13). sqrt(6*2+13)Perform Multiplication: Perform the multiplication inside the square root. sqrt(12+13)Add Numbers: Add the numbers inside the square root. sqrt(25)Calculate Square Root: Calculate the square root of 25. 5

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$\lim _{x \rightarrow 2} \sqrt{6 x+13}=$

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\lim _{x \rightarrow 2} \sqrt{6 x+13}=

Direct Substitution: To find the limit of the function $\sqrt{6x+13}$ as $x$ approaches $2$ , we can directly substitute the value of $x$ with $2$ , since there are no discontinuities or indeterminate forms that would prevent direct substitution.
Substitute $x$ with $2$ : Substitute $x$ with $2$ in the function $\sqrt{6x+13}$ . $\sqrt{6\times2+13}$
Perform Multiplication: Perform the multiplication inside the square root. $\sqrt{12+13}$
Add Numbers: Add the numbers inside the square root. $\sqrt{25}$
Calculate Square Root: Calculate the square root of $25$ . $5$