Evaluate the Limit limit as h approaches 0 of h(2+5/h)

Problem

(lim_h→0)(h)*(2+5/h)

Solution

1. Distribute the variable h into the terms inside the parentheses.

h⋅2+h⋅5/h

2. Simplify the expression by performing the multiplication and canceling the common factor h in the second term.

2*h+5

3. Evaluate the limit by substituting h=0 into the simplified expression.

2*(0)+5

4. Calculate the final numerical result.

0+5=5

Final Answer

(lim_h→0)(h)*(2+5/h)=5

Want more problems? Check here!