ANSWERS -- Exam #2 2.5 and 2.6 (Memorization).pdf - KSU Math 1190(Calculus I Exam#2 Covering Sections 2.5 and 2.6 Memorization Section Answers M2.1

# ANSWERS -- Exam #2 2.5 and 2.6 (Memorization).pdf - KSU...

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KSU: Math 1190 (Calculus I) Exam #2 Covering Sections 2.5 and 2.6 Memorization Section Answers M2.1 Define Continuity at a Number . (For Real number 𝑐 ) lim 𝑥→𝑐 𝑓(𝑥) = 𝑓(𝑐) M2.2 Briefly explain the three tests for Continuity at a Number . (For Real number 𝑐 ) 1. 𝑓(𝑐) exists 2. lim 𝑥→𝑐 𝑓(𝑥) exists 3. lim 𝑥→𝑐 𝑓(𝑥) = 𝑓(𝑐) M2.3 For an elementary function , the interior of the function’s domain has what very important property? Continuity M2.4 Graphically, a function continuous on interval (𝑎,𝑏) has what important “feature”? All points in the open interval (𝑎,𝑏) are “connected”. M2.5 When a function 𝑓(𝑥) is continuous everywhere in the open interval (𝑎,𝑏) except at point 𝑥 = 𝑐 (𝑎 < 𝑐 < 𝑏) and if direct substitution of 𝑐 into 𝑓(𝑥) results in one of the seven indeterminate forms, one of which we have already studied,