Study with the several resources on Docsity
Earn points by helping other students or get them with a premium plan
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 for help and clear up your study doubts
Discover the best universities in your country according to Docsity users
Free resources
Download our free guides on studying techniques, anxiety management strategies, and thesis advice from Docsity tutors
The spring 2007 exam 1 for the mat 250 calculus course, focusing on limits and derivatives. Students are required to use the graph of a function, algebraic methods, and the intermediate value theorem to find limits, evaluate continuity, and determine instantaneous velocities. The document also includes a bonus question on exponential expressions.
Typology: Exams
1 / 4
This page cannot be seen from the preview
Don't miss anything!
Spring ’07/MAT 250/Exam 1 Name: Show all your work.
lim x→ 3 −^
f (x) =
lim x→ 3 +^
f (x) =
lim x→ 0 f (x) =
lim x→− 2
f (x) =
Is f continuous at x = −2 and why (not)?
a) lim x→ 7
x^2 − 4 x − 21 x − 7
b) lim x→ 3
(x − 3)^2
3 x − 12 √ 8 x + 1 −
a) Use your calculator to estimate the limit with three accurate decimal places. Show the table of values. b) Find the limit algebraically and compare your answer to a).
2 + sin (^1) x. Use the theorem that rhymes with what an allergy
sufferer might do.
f (x) =
3 x − 2 , if x ≤ 2 12 − 4 x, if 2 < x.
f ′(a) =
f ′(b) =
f ′(c) =
Bonus. (5pts) Algebraically find the limit of the exponential expression
lim x→∞
x^3 +x+ x−x^2 =
