1.8. Infinite Limits http://www.ck12.org
limx→∞(x(−x+ 2 )^22 )−^21
limx→ 1 +(x(−x+ 2 )^22 )−^21
limx→∞^2 xx+− 11
limx→−∞x^5 +x (^33) −x^41 +^1
limx→∞^32 xx^44 −−^22 xx^22 ++^3 xx−+ 31
limx→∞x (^5) −^2 x 22 x− (^3) +x+ 2 x^3 − 3
In problems 8 - 10, analyze the given function and identify all asymptotes and the end behavior of the graph.
f(x) =(x(−x+ 4 )^42 )−^21
f(x) =− 3 x^3 −x^2 + 2 x+ 2
f(x) =^2 xx^2 +− 28
Considerf(x) =x+^11 ,g(x) =x^2. We previously found limx→− 1 (f◦g)(x) =^12. Find limx→− 1 (g◦f)(x).
Texas Instruments Resources
In the CK-12 Texas Instruments Calculus FlexBook® resource, there are graphing calculator activities designed
to supplement the objectives for some of the lessons in this chapter. See http://www.ck12.org/flexr/chapter/9726.