Calculus 1 – Practice Test 1
Show all work. Simplify all answers. Leave answers in exact form – no rounding.
Evaluate the limits below
1)
lim
x!2
x2+x"6
2"x
2)
lim
x!7
x2"x+56
x"7
3)
lim
x!15
x+1"4
x"15
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Guidelines and tips
Prepare for your exams
Study with the several resources on Docsity
Earn points to download
Earn points by helping other students or get them with a premium plan
Community
Ask the community
Ask the community for help and clear up your study doubts
University Rankings
Discover the best universities in your country according to Docsity users
Free resources
Our save-the-student-ebooks!
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
Calculus 1 Practice Test 1: Limits and Derivatives - Prof. Waldemar J. Axmann, Exams of Calculus
A practice test for calculus 1 students, focusing on limits and derivatives. The test includes 12 questions, with instructions to show all work and simplify answers. Questions involve evaluating limits using the limit definition, finding derivatives using the definition, and proving a limit using an epsilon-delta proof.
Typology: Exams
2009/2010
1 / 4
This page cannot be seen from the preview
Don't miss anything!
Related documents
Partial preview of the text
Download Calculus 1 Practice Test 1: Limits and Derivatives - Prof. Waldemar J. Axmann and more Exams Calculus in PDF only on Docsity!
Calculus 1 – Practice Test 1 Show all work. Simplify all answers. Leave answers in exact form – no rounding. Evaluate the limits below
- lim x! 2 x 2
- x " 6 2 " x
- lim x! 7 x^2 " x + 56 x " 7
- lim x! 15 x + 1 " 4 x " 15
- lim t! 0
t^2 + t
t
$%^
- lim x! 0 "
x
x
- lim t! 0 tan( 2 t ) sin( 6 t )
- Find the derivative using the definition of derivative – show all work: f ( x ) = 3! 4 x
- Find the derivative using the definition of derivative – show all work: f ( x ) = x! x^2
- Prove lim x! 2 ( 4 " 3 x ) = " 2 using an! " # proof