Calculus Examples

Evaluate the Limit limit as x approaches 0 of x^2+1
Step 1
Evaluate the limit.
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Step 1.1
Split the limit using the Sum of Limits Rule on the limit as approaches .
Step 1.2
Move the exponent from outside the limit using the Limits Power Rule.
Step 1.3
Evaluate the limit of which is constant as approaches .
Step 2
Evaluate the limit of by plugging in for .
Step 3
Simplify the answer.
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Step 3.1
Raising to any positive power yields .
Step 3.2
Add and .