Calculus Examples

Evaluate the Limit ( limit as x approaches 8 of 2x^5)/(e^(4x))
Step 1
Evaluate the limit.
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Step 1.1
Move the term outside of the limit because it is constant with respect to .
Step 1.2
Move the exponent from outside the limit using the Limits Power Rule.
Step 2
Evaluate the limit of by plugging in for .
Step 3
Simplify the answer.
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Step 3.1
Simplify the numerator.
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Step 3.1.1
Rewrite as .
Step 3.1.2
Multiply the exponents in .
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Step 3.1.2.1
Apply the power rule and multiply exponents, .
Step 3.1.2.2
Multiply by .
Step 3.1.3
Use the power rule to combine exponents.
Step 3.1.4
Add and .
Step 3.2
Raise to the power of .