Evaluate the Limit limit as x approaches 1 of 2x+1

Problem

(lim_x→1)(2*x+1)

Solution

1. Identify the type of function. The expression 2*x+1 is a polynomial function.

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

3. Substitute the value x=1 into the expression.

2*(1)+1

4. Simplify the resulting arithmetic expression.

2+1=3

Final Answer

(lim_x→1)(2*x+1)=3

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