Question

Lim h menuju 0 f(x+h)-f(x)/h dengan f(x)=4x-3

Answer 1

To evaluate the limit:

f(x) = 4x - 3

f(x + h) = 4(x + h) - 3

= 4x + 4h - 3

f(x + h) - f(x) = 4x + 4h - 3 - (4x - 3)

= 4h

Now, we can plug these expressions into the limit formula:

lim h→0 [f(x + h) - f(x)] / h

= lim h→0 (4h) / h

= lim h→0 4

= 4

Therefore, the limit is 4.