x sin y lim (х, у)— (0,0) |x+ |y

Q: Determine the following limits analytically.

A: Given: L=limx→-1x2+8-5-4xx3+1 For evaluating given limit, we substitute x=-1+h, h→0 So,…

Q: x+25-5 lim

A:

Q: nta n+b )"구Twhere a, 1 where a, beR lim n+00

A:

Q: Find the limit of the exercise below.

A: Factor the numerator using a^2-b^2=(a+b)(a-b) formula. With a=t and b=4

Q: d'y If y = e, then dz2 A) 182 e= B 9x e2 (6z + 3=*) e (6z + 9z*) e* 9x*) (D 6x +

A: We can find the correct option as below.

Q: (1+4)* r+y xy (a) lim(æ,y)-(+0∞,+0) x2 + y? =? (b) lim(r,y)-(+o0,3) ||

A: Given: a) lim(x,y)→(∞,∞)xyx2+y2x2 b) lim(x,y)→(∞,3)1+1xx2x+y

Q: x² + 2 b) lim a00 x5 + x +1

A:

Q: 4x-5 1. lim x-3 5x+1 3x2-8x-16 2. lim x-4 2x2-9x+4

A:

Q: lim (x,y)→(0,0) 1 - cos(7xy) ху x-y lim (x,y)→(9,9) x4 — 4 - = m m www m

A: We need to evaluate limit.

Q: x² + x – 6 - f. lim "3 x² – 9 /x + 1 – 2 g. lim х — 3 * 3 x - 8 h. lim * 2 2 x- 2 3x2 + 5x - 2 i.…

A: Given tha

Q: lim x².e 2.

A: The given limit is in the indeterminate form, just using L,Hospital's rule and easily find the…

Q: 7-Vx2+49 lim X→0

A:

Q: 1-х? а.) lim (x– 1)? Зх-10х3 b.) lim 5x - 7x? +1

A: (a) Given information: limx→1-1-x2x-12 To determine the limits first simplify,…

Q: 2 3x-x² lim X→-2 х2-х-6

A: We have to find limit

Q: a) lim- 1 3x +x+1 -x +5x b) lim f(x) where f(x)={ (4x xs2 3x x>2 sin 2x c) lim g(x) where 2+x < g(x)…

A: alimx→∞−x2+5x3x2+x+1Divide and multiply by x2limx→∞x2−x2+5xx2x23x2+x+1x2limx→∞−1+5x3+1x+1x2=−13

Q: sin limy→0 e

A:

Q: (3-12г (a) lim,→+∞ ( 3r+5 + csc 4x (b) lim,¬0 sin r-x² 2x (c) lim,¬∞ sec 4x+5 (d) lim,-0 1-cos r-x²…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: Evaluate the following limits.

A: We have to evaluate the limit: limx→0ax-bxx It is 00 form. We know the formula, limx→0ax-1x=lna So…

Q: Q1/ Find the following limits. 1. lim x*+3x-4 2. lim x*- 16 x-1 2 X+2

A:

Q: х2 + 5х + 1 lim х-00 4x3 — 4х2 +x +4

A: Multiple questions are asked, According to guidelines I am answering first question. Please repost…

Q: Evaluate the following limits.

A:

Q: d. e. lim 4x(3x + 4)² X→-1/2 lim (5-y)¹/3 y-3 3 h→0 √3h+1+1 f. lim

A:

Q: f (x+ h, y) - f(x, y) fx = lim h-0 h where f(x, y) = x + y? + 1

A: Given: f(x,y)=x+y2+1

Q: 2 3x-x² lim х>-2 \x-х-6. х2 —х-6

A: A detailed solution is given below