Find Lim (x² (X, Y) → (0, 0) + Y²) Log (x² + Y²)

Q: Evaluate the following limits: 1-cos¹(x) (i) lim zsin(2x) (ii) lim In (√) +1 2²-1 (iii) lim sin(x) -…

A: Given :limx→01-cos4(x)sin(2x)lim x→1 lnxx2-1lim x→π4 sinx-22cosx-22lim x→01+tan(2x)1x

Q: lim X

A: Solution :-

Q: Evaluate the following: -1 x-1(x+1) xả-5x-20 x-5 x²-4x-5' x-5 lim x-5x²-10x+25² i. lim ii. lim iii.

A: note :Since you have posted question with multiple sub parts, we will provide the solution only to…

Q: b) Determine the value of the fund in year 2007. A(Ctrl) -

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: b. lim x->0+ -3/x 2 X²

A: A limit is a value that a function approaches as the input approaches some value. Limits are…

Q: Compute lim(Vx²+x – x

A: Given,  limx→∞x2+x - x   We have to compute the limit.

Q: Suppose f(-1) = 0 g(– 1) = 0 f'(- 1) = 5 g'(– 1) = 4 and all functions are continuous. lim (In(f(x))…

A:

Q: If f(x) = log,(z), then lim f(z) - f(1) %3D I-1 (A) 0 (B) In(4) (C) mt) In(4) (D) 4 (E) 1 (A) (B)…

A:

Q: f(x) = x+1 g(x) = log(102tan¹(x)), h(x) = x . 1) Find lim f([h(x)]²) X-1 2) For the following…

A: Step 1:Step 2: Step 3: Step 4:

Q: Find Lim-0.0 (r² + y²) In(x² +y²) '(xy)(0,0)

A:

Q: What is the length L of the interval on which the function f(x)=x4e−x is increasing?

A: Given

Q: Exercise 5: Compute / f(x)g" (x) – g(x)f"(x) dx.

A: Write the integration using two parts

Q: If 4æ – 11y = 5 is the tangent to f(x) f(x) - f(3) at a = 3, then lim | (A) =! (B) 규 (C) 4 (D) (E) 4…

A:

Q: lim COos x –1 x→0 x² – x³

A: To evaluate the given limit.limx→0 cos x-1x2-x3

Q: The graph of f(x) passes through the point (4, 0). The slope of the line tangent to the graph at the…

A:

Q: The equation of a tangent line at a point (x₁, f (x₁)) where limh→0 f(x₁+h)-f(x₁) h = +∞ is x = x1.…

A:

Q: f" (h+x)-j" (x) li h→0

A:

Q: lim(log(3x +1)) 2. 3 lim(sin (5x2+ 10) 3. *2

A:

Q: lim = e7x- e6x/ex-1 x>0

A:

Q: Differentiate the function. g'(x) = g(x) = In(x√) = In(x√x²-12)

A:

Q: 3x lim 2х +1 x→-00

A:

Q: Let g(x) = f(t) dt, where f is the function whose graph is sho %3D yA f 1 1 6. 6. 3.

A: you can say that the given graph is the graph of g'(x). so directly from graph g'(3) = 3

Q: For the function f(x) = 4x? +16x + 25, find f'(x) using the definition f(x+ h) - f(x) lim h-0

A:

Q: tan(xy) = ? lim (х, у) >(,0) у+ 2ху 1 (c) 3 (а) 0 (b) (d) (е) 1

A: