If a = 2e1-e2 + 3 and b = + 2 + 3, show that b...

  

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If a = 2e1-e2 + 3 and b = + 2 + 3, show that b is in S4(a) and find 8 >0 such that S8(b) is contained in S4(a). Evaluate lim [(t2 + 1)e + ete2 + [(t2-1)/(t + 1)]es]. Ans. 2e +(1/e)e2 - 203 t--1 Determine the values of t for which f(t) = [(2+1)/(2-1)] e + (tan t)e, is discontinuous. Ans. t = 1, -1, n, n = 0, 1, 2,... Let f(t) = (2-1)2 + (cos t)eg (b) lim (f(t)g(t)). 0+3 and g(t) = (sin t)e + ete. Find (a) lim (f(t) g(t)), Ans. (a) -1, (b) -e1 012 If a = 2e1-e2 + 3 and b = + 2 + 3, show that b is in S4(a) and find 8 >0 such that S8(b) is contained in S4(a). Evaluate lim [(t2 + 1)e + ete2 + [(t2-1)/(t + 1)]es]. Ans. 2e +(1/e)e2 - 203 t--1 Determine the values of t for which f(t) = [(2+1)/(2-1)] e + (tan t)e, is discontinuous. Ans. t = 1, -1, n, n = 0, 1, 2,... Let f(t) = (2-1)2 + (cos t)eg (b) lim (f(t)g(t)). 0+3 and g(t) = (sin t)e + ete. Find (a) lim (f(t) g(t)), Ans. (a) -1, (b) -e1 012