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Exercise

$\lim_{x\to0}\left(\frac{\sqrt{64+8x-\sqrt{64-8x}}}{x}\right)$

Step-by-step Solution

Learn how to solve limits by direct substitution problems step by step online. Find the limit of ((64+8x-(64-8x)^(1/2))^(1/2))/x as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\sqrt{64+8x-\sqrt{64-8x}}}{x}\right) by replacing all occurrences of x by 0. Multiply 8 times 0. Add the values 64 and 0. Multiply -8 times 0.
Find the limit of ((64+8x-(64-8x)^(1/2))^(1/2))/x as x approaches 0

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Final answer to the exercise

The limit does not exist

Try other ways to solve this exercise

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  • Solve using limit properties
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  • Integrate by partial fractions
  • Product of Binomials with Common Term
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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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