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Exercise

$\lim_{x\to3}\left(\frac{4-\sqrt{4x+4}}{e^{5x-15}-2x+7}\right)$

Step-by-step Solution

Learn how to solve limits by direct substitution problems step by step online. Find the limit of (4-(4x+4)^(1/2))/(e^(5x-15)-2x+7) as x approaches 3. Evaluate the limit \lim_{x\to3}\left(\frac{4-\sqrt{4x+4}}{e^{\left(5x-15\right)}-2x+7}\right) by replacing all occurrences of x by 3. Multiply 5 times 3. Subtract the values 15 and -15. Multiply -2 times 3.
Find the limit of (4-(4x+4)^(1/2))/(e^(5x-15)-2x+7) as x approaches 3

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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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