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# Let f(x) = 1/2x . compute lim_{h→0} f(5 + h) − f(5) all over h.

**Solution:**

lim_{h→0} f(5 + h) − f(5)/h = lim_{h→0} [ 1/2(5+h) - 1/2(5)]/h

= lim_{h→0 }(1/2h)[(5 - (5+h)]/[5(5+h)]

= lim_{h→0} (-h)/[(10h)(5+h)]

= lim_{h→0} (-1)/[10(5+h)]

= (-1/50)

## Given f(x) = 1/2x compute lim_{h→0} f(5 + h) − f(5) all over h.

**Summary:**

The value of lim_{h→0} f(5 + h) − f(5) all over h is (-1/50)

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