This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Indeterminate Forms – 1”. 1. Find ltx → ∞ a) e b) 1 c) e2 d) 1⁄e 2. Find lt x → ∞ a) 0 b) 1 c) Undefined d) – 1⁄35 3. Find ltn → ∞ a) 1⁄a b) 1 c) … Read more
This set of Engineering Mathematics Quiz focuses on “Taylor Mclaurin Series – 4”. 1. The expansion of f(x), about x = a is a) b) c) d) 2. Find the expansion of ex in terms of x + m, m > 0. a) b) c) d) 3. Expand ln(x) in the power of (x-m). a) … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Taylor Mclaurin Series – 3”. 1. Expansion of function f(x) is? a) f(0) + x⁄1! f‘ (0) + x2⁄2! f” (0)…….+xn⁄n! fn (0) b) 1 + x⁄1! f‘ (0) + x2⁄2! f” (0)…….+xn⁄n! fn (0) c) f(0) – x⁄1! f‘ (0) + … Read more
This set of Engineering Mathematics test focuses on “Taylor Mclaurin Series – 2”. 1. Let τa [f (x)] denote the Taylor series of f (x) centered at a then the value of the expression [ τ199 (τ121 (τ1729 (f (101729)))]3 – [τ342 (f (101729))]3 is equal to _______ a) 101729 b) 0 c) 1 d) … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Taylor Mclaurin Series – 1”. 1. The Mclaurin Series expansion of sin(ex) is? a) sin(1)+ b) c) d) 2. What is the coefficient of x101729 in the series expansion of cos(sin(x))? a) 0 b) 1⁄101729! c) -1⁄101729! d) 1 3. Let τ(X) … Read more
This set of Differential and Integral Calculus Multiple Choice Questions & Answers (MCQs) focuses on “Differential Calculus Questions and Answers – Generalized Mean Value Theorem”. 1. Taylor’s theorem was stated by the mathematician _____________ a) Brook Taylor b) Eva Germaine Rimington Taylor c) Sir Geoffrey Ingram Taylor d) Michael Eugene Taylor 2. Lagrange’s Remainder for … Read more
This set of Differential and Integral Calculus Multiple Choice Questions & Answers (MCQs) focuses on “Cauchy’s Mean Value Theorem”. 1. Cauchy’s Mean Value Theorem can be reduced to Lagrange’s Mean Value Theorem. a) True b) False 2. Which of the following is not a necessary condition for Cauchy’s Mean Value Theorem? a) The functions, f(x) … Read more
This set of Engineering Mathematics Interview Questions and Answers for Experienced people focuses on “Lagrange’s Mean Value Theorem – 2”. 1. Mean Value Theorem tells about the a) Existence of point c in a curve where slope of a tangent to curve is equal to the slope of line joining two points in which curve … Read more
This set of Engineering Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Lagrange’s Mean Value Theorem – 1”. 1. For the function f(x) = x2 – 2x + 1. We have Rolles point at x = 1. The coordinate axes are then rotated by 45 degrees in anticlockwise sense. What is the position of … Read more
This set of Engineering Mathematics Questions and Answers for Experienced people focuses on “Rolle’s Theorem – 2”. 1. Rolle’s Theorem tells about the a) Existence of point c where derivative of a function becomes zero b) Existence of point c where derivative of a function is positive c) Existence of point c where derivative of … Read more
