Evaluate lim h_ 2 {f(2+h)-f(2)}/ h where f(x) = 2x²-x+1
Answers
Answered by
2
Answer:
lim
f(h−h
2
+1)−f(1)
f(2h+2+h
2
)−f(2)
Apply L-Hospital Rule
h→0
lim
f
′
(h−h
2
+1)(1−2h)
f
′
(2h+2+h
2
)(2+2h)
=
f
′
(1)(1)
f
′
(2)(2)
=
4
2×6
=3
Similar questions