Explore topic-wise MCQs in Engineering Mathematics.

This section includes 11 Mcqs, each offering curated multiple-choice questions to sharpen your Engineering Mathematics knowledge and support exam preparation. Choose a topic below to get started.

Explore topic-wise MCQs in Engineering Mathematics.

Find \(lt_{x\rightarrow -33}\frac{ln(x^3+68x^2+1222x+2179)-ln(x+1)}{(x^2+66x+1089)}\)

Find \(lt_{x\rightarrow 0}\frac{sin(x^2)}{x}\)

Let f on (f(x)) denote the composition of f(x) with itself n number of times then the value of ltn → ∞ f on (sin(x)) =

Find \(lt_{x\rightarrow 1012345}(\frac{[sinh(x)]^2-[cosh(x)]^2}{[sinh(x)]^2+[cosh(x)]^2})\)

Find \(=lt_{x\rightarrow 0}\frac{sin(x)}{tan(x)}\)

Find \(lt_{p\rightarrow\infty}\frac{p^5.p!}{5.6…(5+p)}\)

Find how many rounds of differentiation are required to have finite limit for \(lt_{x\rightarrow 0}\frac{cos(ax)+cos(bx)-2cos(cx)}{cos(ax)+2cos(bx)-3cos(cx)}\) given that a ≠ b ≠ c

Find \(lt_{x\rightarrow 0}\frac{2cos(2x)+3cos(5x)-5cos(19x)}{cos(4x)-cos(3x)}\)

Find relation between a and b such that the following limit is got after a single application of L hospitals Rule \(lt_{x\rightarrow 0}\frac{ae^x+be^{2x}}{be^x+ae^{2x}}\)

Find \(lt_{x\rightarrow 0}\frac{(3e^x-2e^{2x}-e^{3x})}{(e^x+e^{2x}-2e^{3x})}\)

Find \(lt_{x\rightarrow -2}\frac{sin(\frac{1+(\frac{(x+2)^2(x^2+1)}{x^3+3})}{x+2})}{(x+2)}\)