Evaluate the Limit limit as x approaches 0 of x^2+11

Problem

(lim_x→0)(x2+11)

Solution

1. Identify the type of function. The expression x2+11 is a polynomial.

2. Apply the direct substitution property for limits. Since polynomials are continuous everywhere, the limit as x approaches a is simply the value of the function at a

3. Substitute the value x=0 into the expression.

0+11

4. Simplify the resulting numerical expression.

0+11=11

Final Answer

(lim_x→0)(x2+11)=11

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