For the function O -n

Q: Evaluate n lim > sin n i=1

A: Given

Q: Find the theoretical error bound in approximating SN" sin(x?) dx using Boole's Rule.

A: The theoretical error bound in approximating the integral∫0πsinx2dx using Boole's rule is shown…

Q: lim as x approches 0 of cos(6theta)-1/sin(7theta)

A: Given: fθ=limθ→0cos6θ-1sin7θ Apply limit by substituting θ=0 in the above expression.…

Q: Determine the pole ac the residue at A(z) = Ite² and ach pole Sinz +ZcOSZ

A: Step 1: Step 2: Step 3: Step 4:

Q: cos(2x)–1 lim x'+ 5x ? 3

A:

Q: Using Bisection Method,  find one real root of 2x cos(2x) - (x-2)2 = 0 on the interval of (2,3). Do…

A: Here given equation is -(x-2)2 + 2x(cos(2x)) = 0 Let f(x) = -(x-2)2 + 2x(cos(2x))

Q: sin 7Z „Find the residue of f (z)at z = 4 (z – 4)? Let f (z) =

A: Note:

Q: Given the function y= -4sin(3x-45)+2, (a)state the mapping rule (b) state 5 critical points of the…

A: For the given function y= -4sin(3x-45)+2, we have to answer the following...

Q: Solve for Fourier coefficient, {6" ax 02x2n T >x 22n sin x f (x) =

A:

Q: lim t→0 of tan4t/sin2t

A:

Q: Find the limit if it exists and if it does not exist assign -o or +∞. If L’Hospital Rule would apply…

A: Limit of a function at point is the value a function approaches if input approaches to the point.