Calculus Examples

Evaluate the Limit limit as x approaches 0 from the right of 9x-8 square root of x
Step 1
Split the limit using the Sum of Limits Rule on the limit as approaches .
Step 2
Move the term outside of the limit because it is constant with respect to .
Step 3
Move the term outside of the limit because it is constant with respect to .
Step 4
Move the limit under the radical sign.
Step 5
Evaluate the limits by plugging in for all occurrences of .
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Step 5.1
Evaluate the limit of by plugging in for .
Step 5.2
Evaluate the limit of by plugging in for .
Step 6
Simplify the answer.
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Step 6.1
Simplify each term.
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Step 6.1.1
Multiply by .
Step 6.1.2
Rewrite as .
Step 6.1.3
Pull terms out from under the radical, assuming positive real numbers.
Step 6.1.4
Multiply by .
Step 6.2
Add and .