Evaluate the Limit limit as h approaches 0 of h+2x+1

Problem

(lim_h→0)(h+2*x+1)

Solution

1. Identify the variable that is approaching a limit, which is h

2. Recognize that the terms 2*x and 1 do not depend on h and are treated as constants with respect to this limit.

3. Apply the direct substitution property for limits by substituting 0 for h in the expression.

4. Simplify the resulting expression to find the final value.

Final Answer

(lim_h→0)(h+2*x+1)=2*x+1

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