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Find the limit $\lim_{x\to1}\left(\frac{\sqrt{5x+4}-3}{x-1}\right)$

Step-by-step Solution

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Final Answer

indeterminate

Step-by-step Solution

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Evaluate the limit $\lim_{x\to1}\left(\frac{\sqrt{5x+4}-3}{x-1}\right)$ by replacing all occurrences of $x$ by $1$

$\frac{\sqrt{5\cdot 1+4}-3}{1-1}$

Learn how to solve limits by direct substitution problems step by step online.

$\frac{\sqrt{5\cdot 1+4}-3}{1-1}$

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Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(1)lim(((5x+4)^1/2-3)/(x-1)). Evaluate the limit \lim_{x\to1}\left(\frac{\sqrt{5x+4}-3}{x-1}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. Multiply 5 times 1. Add the values 5 and 4.

Final Answer

indeterminate

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Function Plot

Plotting: $\frac{\sqrt{5x+4}-3}{x-1}$

Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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