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2 Solved Problems on Continuous Functions - Assignment | MTHSC 106, Assignments of Mathematics

Clemson UniversityMathematics

Material Type: Assignment; Class: CALC OF ONE VAR I; Subject: MATHEMATICAL SCIENCES; University: Clemson University; Term: Fall 2008;

Typology: Assignments

Pre 2010

Uploaded on 08/19/2009

koofers-user-uve
koofers-user-uve 🇺🇸

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Download 2 Solved Problems on Continuous Functions - Assignment | MTHSC 106 and more Assignments Mathematics in PDF only on Docsity!

4, Suppose f(t) is a continuous function with t? +7 < f(t) < 7 —5 for all ¢ in an open interval around t = 3. (a) Determine the following limit, if it exists. (As always, show work and/or explain your reasoning where appropriate). li f(t (esareey Jim t2+7= |be Lr Ite 5 t73 £73 bine, ley Fre Sepndenrthr Thora (Lim Ht)= Ie / aan ‘ {b) Assume ¢ = 3 is in the domain of f(t). Can you determine f(3)? If so, what is it? If not, explain why not. oP Yes! Smee ft ts contrac, we must hyo ae bin tle) ~#@), £73 » (Alg) = 6)