f(x)

Q: x²+3x+2 6. limx0 2x2-1 2+3x 7. limx-00 бх-1 2x2-1 8. limx0 7+3x+5

A: Since you have posted multipart questions i can do first three subparts as per our company…

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: (a) f : R² → R, f (x, y) = V1+x²y²-1 x2+y² (0,0) (b) ƒ : R² → R, f (x, y) = sin(x*y²) (x²+y²)² » (2²…

A: (a) Given fx,y=1+x2y2-1x2+y2,  0,0. Investigate the limit of fx,y at the point 0,0.

Q: lim V3x² – 6 X-2

A: The given problem is,           limx→23x2-6 Here the function is continuous and defined at x=2, so…

Q: lim (x?y3 – x²y² + 3x + 2y) (x,y)→(2,1) |

A: Solution...

Q: 4.) x²-9 lim X-3 x-3

A:

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 1 00 3+ 10 x2

A: Limx-infinity (3+10/x2)Find the limit.

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: 2x3 – 3x² + 1 lim 3- 3x+ 2 x→1

A:

Q: lim n 4x3-4x+1 lim X→3 x-1 x²-6 lim X→-1 3x-1

A:

Q: 4. Use the graph of f given below to evaluate the following limits, if they exist: 4 3 -4 -3 -2 -1 2…

A: The graph of the function is given

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: (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: 3 n-∞0 2-ni (a) lim (b) lim Z-2 (c) lim 7-2 x²-4 x+4 4 x-2 I

A: Solving the first three subparts,

Q: lim -2)2 x-2 x2-4 3.)

A:

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

A:

Q: limx→9 x-9

A:

Q: Find the following limits 5x³-2x²+9 (a) limx→ 4-x3 8

A: according to bartleby policy we only do first part of multiple questions B=limx→∞5x3-2x2+94-x3if we…

Q: (x+2)7(x-5)* lim x→b (x+6)3 (x+8)10 DNE %D

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: i. lim- 3n²+1 2n² + 2n-1 √5n² + 2n n+ 2 -3n³ + 4 3n³ + 2n²-1n ii. limn-.. iii. limn-..

A: Here we find that the limit of give following sequence.