14.1. Limit Notation http://www.ck12.org
3.f(x) =x 52 x+ (^3) +^2 xx^3 +− 43
4.f(x) =^42 xx 2 ++^43 xx^2 −+^53
5.f(x) =^36 xx (^32) ++ 34 xx^32 ++^46
Translate the following statements into limit notation.
- The limit ofy= 2 x^2 +1 asxapproaches 3 is 19.
- The limit ofy=exasxapproaches negative infinity is 0.
- The limit ofy=^1 xasxapproaches infinity is 0.
Use limit notation to represent the following mathematical statements.
9.^14 + 161 + 641 +···=^13 - The series 1+^12 +^13 +^14 +···diverges.
- 1+^12 +^14 +^18 +···= 2
- 109 + 1009 + 10009 +···= 1
Translate the following mathematical statements into words. - limx→ 05 xx+^2 − 14 =− 4
- limx→ 1 xx^3 −− 11 = 3
- If limx→af(x) =b, is it possible thatf(a) =b? Explain.