This document contains examples and exercises on calculating limits of functions as the variable approaches certain values. It includes 10 problems where students are asked to find the limit of expressions as x approaches numbers like 0, 1, 2 and infinity. For each problem, the solution shows the step-by-step work to simplify the expression and determine the limit. The document covers basic limits as well as some examples involving square roots and rational expressions.

1. Group : 1 ( Page 1-8 Kalkulus)
Name :
1. Azhari Rahman
2. MuhammadPachroni Suryana
3. Yudiansyah
Latihan1.1
Hitunglahhasil dari f(X),jikax menyatakannilai adanb. untukc, buatlahsebuahobservasi dari hasil a
dan b.
1. f(x)=
a. x= 3.001
Solutions:
f(3.001)=
f(x) = = = - 2.501
b. x= 2.99
Solutions:
f(2.99)=
f(x)= = = - 2.482
c. observasi ?
Terlepasdari ituketikax mendekati hasil 3,ketikaf(x) mendekati hasil dari -2.5
2. f(x)=
a. x= 1.002
f(1.002)=
f(x)= = = - 0.997
b. x= .993
f(.993)=
f(x)= = = - 1.008
c. observasi ?
terlepasdari ituketikax mendekati hasil 1,ketikaf(x) mendekatihasil dari -1.
3. f(x)=

2. a. x= .001
f(.001)=
f(x)= = = 0.003
b. x= -.001
f(-.001)=
f(x)= = = - 0.003
c. observasi ?
terlepasdari ituketikax mendekati hasil 0,berarti f(x) tidakmendekati hasil tetap
latihan1.2
Carilahpersamaandari limitberikutataumenunjukkankeberadaanbebas
1.
Solusi : =
=
2.
Solusi : = =
3. √
Solusi : √ = √
= 2√
4.
Solusi : =
5.
Solusi : =

3. =
6.
Solusi : =
=
7.
Solusi: =
=
=
= 0
8.
Solusi : =
=
=
9. √
Solusi : √ = √
= √
10.
Solusi : =
=
=

4. Latihan2.1
Tentukanlahlimitberikut:
1.
Solusi : =
=
=
2.
Solusi : =
=
=
=
= 2x
3.
Solusi : =
=
=
=
= 6
4. If f(x) = 5x+8, find
Solusi : =
=
=
=
5.
Solusi : =

5. =
= -
6.
√
Solusi :
√
=
√ √
√
=
√ √
=
=
7. If g(x) = , find
Solusi : =
=
=
= 4
8.
Solusi : =
=
= -4
9.
√ √
Solusi :
√ √
=
√ √ √ √
√ √
=
√ √
=
=
10.
Solusi : =
=
=
=