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TIF 4102. calculus. x. f ( x ) =. ?. ?. kontinyu. lim. f ( x ) =. f ( 0 ) =. pada 0. x 0. ?. ?. pada 5. lim. f ( x ) =. f ( 5 ) =. x 5. 1. f ( x ) =. x – 2. f ( x ). 1. f ( x ) =. x – 2. x. 2. ?. f ( 2 ). = undefined. f ( x ). lim. f ( x ). = ∞.
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TIF4102 calculus
x f(x) = ? ? kontinyu lim f(x) = f(0) = pada 0 x0 ? ? pada 5 lim f(x) = f(5) = x5
1 f(x) = x – 2
f(x) 1 f(x) = x – 2 x 2 ? f(2) = undefined
f(x) lim f(x) = ∞ x2+ 1 f(x) = x – 2 x 2 lim f(x) x2 lim f(x) = -∞ = undefined x2–
x - 3 f(x) = | x - 3 |
f(x) lim f(x) = 1 x 3+ x - 3 f(x) = 1 | x - 3 | x 3 -1 lim f(x) x0 lim f(x) = -1 = undefined x 3–
x2 , if x ≠ 2 f(x) = 2 , if x = 2
2 2
“ Continuous eloquence wearies. Grandeur must be abandoned to be appreciated. Continuity in everything is unpleasant. Cold is agreeable, that we may get warm ” Blaise Pascal