Formula Sheet (Test) - MA1102R Calculus 2014\/2015 Semester 1 Test Formula Sheet Denitions 1(a The limit of f(x equals L as x approaches a denoted by lim

Formula Sheet (Test) - MA1102R Calculus 2014/2015 Semester...

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MA1102R Calculus Test Formula Sheet 2014/2015 Semester 1 Definitions. 2. A functionfiscontinuousataif limxaf(x) exists and equalsf(a).fiscontinuous from the left(resp.from the right) ataif limxa-f(x) (resp. limxa+f(x) )exists and equalsf(a).3. A functionfisdifferentiableataif limh0f(a+h)-f(a)hor equivalently limxaf(x)-f(a)x-aexists. The limit, denoted byf0(a), is called thederivativeoffata.4. (a) Letfbe a function with domainD.fhas anabsolute maximum(resp.absoluteminimum) atciff(c)f(x) (resp.f(c)f(x)) for allxD, andf(c

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