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เอกสารประกอบการสอนวิชา SC142 จัดทำโดย ดร.อัจฉรา ปาจีนบูรวรรณ์ 55<br />
(e) lim<br />
x→−∞<br />
(g) lim<br />
x→−∞<br />
√<br />
3<br />
f(x)g(x)<br />
[<br />
f(x)+ g(x) ]<br />
x<br />
3. จงหาค่าลิมิตต่อไปนี้<br />
x+4<br />
(a) lim<br />
x→+∞ x 2 −2x+5<br />
−x<br />
(c) lim √<br />
x→−∞ 4+x<br />
2<br />
x 3 −2x+4<br />
(e) lim<br />
x→+∞ 3x 2 +3x−5<br />
3x 3 −x+5<br />
(g) lim<br />
x→+∞ 4x 3 +4x 2 −1<br />
(√<br />
(i) lim x2 +3−x)<br />
x→+∞<br />
1− √ x<br />
(k) lim<br />
x→+∞ 1+ √ x<br />
(√<br />
(m) lim 9x2 +x−3x)<br />
x→+∞<br />
( √ )<br />
(o) lim x− x<br />
x→+∞<br />
(q) lim<br />
x→+∞<br />
x 7 −1<br />
x 6 +1<br />
(s) lim<br />
x→+∞ sin2x<br />
(u) lim<br />
x→+∞ ln(2x)<br />
g(x) (f) lim<br />
x→−∞ f(x)<br />
(h) lim<br />
x→−∞<br />
xf(x)<br />
(2x+3)g(x)<br />
(1−x)(2+x)<br />
(b) lim<br />
x→−∞ (1+2x)(2−3x)<br />
x 3 −2x+1<br />
(d) lim<br />
x→−∞ 3x 3 +4x−1<br />
x 2 −sinx<br />
(f) lim<br />
x→+∞ x 2 +4x−1<br />
x 4 −x 2 +1<br />
(h) lim<br />
x→+∞√x 5 +x 3 −x<br />
x2 +4x<br />
(j) lim<br />
x→+∞ 4x+1<br />
(√<br />
(l) lim x2 +1− √ x −1)<br />
2<br />
x→+∞<br />
√<br />
(n) lim x<br />
x→+∞<br />
(p) lim<br />
x→−∞ (x3 −5x 2 )<br />
(r) lim<br />
x→+∞ e2x<br />
(t) lim<br />
x→+∞ e−3x cos2x<br />
(v) lim<br />
x→0 +(xln2x)<br />
คำตอบแบบฝึกหัด 4.3<br />
1. (a) −12 (b) 21 (c) −15 (d) 25 (e) 2 (f) − 3 5<br />
(g) 0<br />
(h) +∞<br />
2. (a) 20 (b) 0 (c) +∞ (d) −∞ (e) 3√ −42 (f) − 6 7<br />
(g) 7<br />
(h) −∞<br />
3. (a) 0 (b) 1 6<br />
(c) 1 (d) 1 3<br />
(e) ∞ (f) 1 (g) 3 4<br />
(h) 0<br />
(i) 0 (j) 1 4<br />
(k) −1 (l) 0 (m) 1 6<br />
(n) ∞ (o) ∞<br />
(p) −∞ (q) ∞ (r) ∞ (s) หาค่าไม่ได้ (t) 0 (u) ∞<br />
(v) 0
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