u*-v4 Q.No.2. Use Numerical Method to find Limit of function h(u, v) : Find u++v4 lim (u'u)-(a'n) h(u, v). Where n=540. Choose at least 4 most nearest values of n for both (u, v)(Don't choose far values from n marks will be deducted in that case). Construct neat table and also perform all calculations. And check whether the limit exist or not? If yes then what's the value of limit.

Q: Suppose  f ( 200 , 300 ) = 1000and ∂ f ∂ x ( 200 , 300 ) = 12 and ∂ f ∂ y ( 200 , 300 ) = 10.…

A: Given, f(200,300)=1000 ∂f∂x(200,300)=12∂f∂y(200,300)=10

Q: What are the limits when x approaches 2-Let f(x ) = 1 / (x-2)

A: we have to evaluate the limit

Q: how did you get y^2-4xy to y-4x when there are three y's on top I input the numbers and got 0 which…

A:

Q: Use l'Hôpital's Rule to evaluate the limit. x² - 8x+15 x-3 lim x-3 OA. 6- OB. 14 OC. -2 OD. -5

A: Limx-3(x2-8x+15)/(x-3) Find the limit.

Q: Consider the function f: N→ N defined as f(n) = 2n-1. Are the following true or false?

A:

Q: Find the limit: limt t→0⟨(e^5t)−1/t,t^11/(t^12−t^11),−7/8+t⟩ ⟨  ,  ,  ⟩

A:

Q: limit as x---3 for the function (x-2)^11/(3-x) using L'Hopitals.

A: Consider the given function (x-2)11 / (3-x).

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS

A: Step 1: Solution-(1)Given function:f(x)=6cos(3x)We have the find f′(6π​). Step 2:…

Q: Find the limits by rewriting the fractions first.

A: Let the given limit be, L=limx,y→1,-1x3+y3x+y Consider the algebraic identity,…

Q: This is just a sample of such ODEs; some more follow in the next problem set. Find a general…

A: Bessel differential equation: The linear second-order ordinary differential equation of the form…

Q: Find the slope of the curve y=x^3-3 at the point ​P(-2,-11​) by finding the limiting value of the…

A: Given,y=x3-3Point P -2,-11The slope of the secant line ism=fb-fab-a

Q: What is the limit of the function f(x) = x ^2 + 2x at the value a = −1?

A:

Q: Calculate ?′(7) using the limit definition if ?(?) = ?^2 + 3? − 4.

A:

Q: limit as x approaches 0+ (in the positive direction) of the function (sqrtx)^x

A: Given, f(x)= (sqrt x)^x= xx/2 = eln(x^(x/2)) = e(xln(x))/2

Limits of Multivariable Functions

Multivariable calculus is an extension of single variable calculus. It involves several variables instead of just one. Assume there is an open set containing points (x0, y0), let f be a function defined in that open interval except for the points (x0, y0). The multivariable limit of this function as it approaches the points (x0, y0) and is denoted as: