(3+4y-y is th e of lim y+ oy +3y+4)

Q: 3x2 + 1?y? + 3y? + 3z2 3 Show that lim (1,y,2)+(0,0,0) 1² + y? + z²

A: The given rational function is 3x2+x2y2+3y2+3z2x2+y2+z2. Evaluate the limit along the line y=0,z=0.…

Q: lim, 1 2²-7x+6 z-1

A:

Q: 3. Find lim (x² + 3x – 18)/(x – 3)-

A:

Q: Q.2.(a) Evaluate: t2+t-2 lime1 t2-1

A: Given: limt→1t2+t-2t2-1

Q: A) Vx2 +8-3 lim x-1 x+1

A: By using l'Hospital's rule we solve the given problem as follows :

Q: flx)= X+4 lim alf(x)=

A:

Q: 2. Find lim (√t+3, In(2 — t), ²). t-x

A: Given: limt→∞t+3, ln2-t, 2t

Q: 19. Evaluate lim (x³ + 2x2 – 3x – 4). x-1

A: Evaluate limx→-1(x3+2x2-3x-4)

Q: Find 2-Vx2-5 lim X-1 x+3

A:

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: x2-9 is x→-3 V 2x2+7x+3 V30 lim V20 D. Е. О A. no limit B. С.

A:

Q: V5x+4-3 3) lim X-1 x-1

A:

Q: 4. Find lim (x² – 9)/(x² – 8x + 15)

A: To find the limit of given function.

Q: 12 + 31 + 2 28. lim P-1 ² – t – 2

A:

Q: Gal Evalunte the fallowing: O lim 1 +31-10 1-5

A:

Q: x2 – x – 12 lim 2. Evaluat" t→4 3x – V16 – x

A: Limit is the value of the expression as the independent variable approaches certain value, not…

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: Find Vx2 +8-3 lim X-1 x + 1

A: Limits question

Q: 2. Find lim n→∞ N (e-(a/n) - (2a/n) + e -(3a/n) + e + . e-(na/n)).

A: To find the following limit.

Q: In(2+x) lim, x+-1 X+1

A:

Q: What is the lim,→1 4x 7 .? x+1

A: limx→1 4xx+1The function is defined at x=1.limx→1 4(1)(1)+1limx→1 41+1limx→1 42=2

Q: 23 - Vx - 47 Find lim x+ 24 X→-24

A:

Q: 5. Find lim [2(a+ h)? – 6(a + h) + 5 – (2a – 6a + 5)]/h h>0

A: Given that, limh→02a+h2-6a+h+5-2a2-6a+5h

Q: 4. Find lim x→-5 x² + 2x - 15 (x + 2)²-9

A:

Q: 3x(x - : lim Tx - 1| X1+

A: Replace the value of the limit and x.

Q: C. lim (4x xx-√16x² + 3x - 5) X→∞

A: Given limits, (c) limx→∞4x-16x2+3x-5 (d) limx→03x-7x2x-15x We have to find the Limit of the given…

Q: # 2) lim -5

A: Limits