x + 3 Evaluate: lim r→-3 V1 – x – 2

Q: x²-2xy+5y²+1 lim (x,y)→(0,0) 3x²+4y²+2

A:

Q: 2x +3 e that lim x2 + 5x 2

A:

Q: 3) lim (x² + y²)' 1.

A: Given: limx→0y→0x2+y2x

Q: lim as x approaches 4 from the right of 8-2x/|x2-x-12| a. 2  b.-2  c. -1  d. 4  e. infinity

A: The given expression is,

Q: Find the limit (if it exist)

A: Given:

Q: X-3 lim y→3+ Vx2¬-9 х2-9

A: Find the limit of limx→3+x-3x2-9

Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

Q: Q. 1. Evaluate the following -x* +3x +5x –-18 lim a) 5x2 – 2x-0.5 Vx² +15 - 4 b) lim- x-1

A: Part a,Given,          limx→∞-x4+3x3+5x-185x2-2x-0.5

Q: x²y Find the lim (x,y)→(0,0) x4+y2 '

A: Find the limit

Q: A. MCQS: I. LIMITS (2x+7x+6 3x2+5x-2. 1. lim-2 ( - 2. lim,-2 x+2 A.0 B. C.D. co A. 0 B. 4 C. 12 D.…

A:

Q: 5. Find lim f(x) f(x) 2 1 i -1 2 -2

A:

Q: H.W 3. lim V3X-3 X - 3 X # 3 X3

A:

Q: x² + 2ix + 3 lim 1² +1 lim ol z) do not e

A: Using L'Hôpital's rule,

Q: y? a), lim (xy)-(00) x²+y²

A:

Q: What is the value of c?

A: we have to to find the value of 'c'. limx→c+2x+1=0

Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: x + y – 2 Evaluate lim (r,y)→(1,1) x² + y² + 2xy – 4

A: To find:-

Q: lim,-«G)* + x²+4 ()* limx--o %D 3x +1 a. -1 1 c. -3 Od. 3.

A: Given, limx→-∞53x+9x2+43x+1  We have to evaluate the limit.

Q: 22-3r 10 d) lim z5 r2 -r - 20

A:

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

A: We have to find

Q: x-2 lim Jx-2

A: Find the limit limx→2x2-2x-2.

Q: 1 lim (2 x→+∞ x3 Select the correct response: |

A:

Q: e2x –1- 2x lim -0 1- cos 3x (ii) Evaluate

A:

Q: Ifp(x)=x2-2x-3 and q(x)=x² - 1, then lim 3p(x) X +1 9(x)

A:

Q: 22-7x 18 lim r -2 x + 2

A: Consider the following limit:…

Q: lim,-1 f(x) =

A:

Q: бх — 2, х < 2 3. limf(x) for f (x) = x-2 %3D 13x2 -1, х 22 |

A:

Q: find

A:

Q: -x²y² lim (x,4)→(0,0) (x³ + y³) e¯ x² + y²

A: Consider the given expression. limx,y→0,0x2+y3x2+y2e−x2y2 Put in the expression y=mx.…

Q: lim, (V+x+1 - V+1) – Vx² x* + 1

A:

Q: Jxi +5 lim + 5 x² -. Q4/ a) Find

A:

Q: Find the value (1) lim (x,y)-(2-3) (3) lim (xy)-(11) √x-√√y of the following limits: x²-2xy + y²…

A: As per the instruction, post the question again for question (5). For (1),    limx, y→2,…

Q: nd the one-sided DNE lim_(x². +x+5) x--5- exists). (If an answer does not exist, enter DNE. Submit…

A: Topic:- limits

Q: Find the limit

A: a. Given limit is Since the function is defined at x=0, so we directly substitute the value of x to…

Q: 3x3 lim (r,v)→(1,-2)! - xy2

A:

Q: Find: lim→1+i z2 –z+1-i i z2-2z+2

A:

Q: Q.2 Show that r(ax) _ 1 lim x0 (x)

A: to show  limx→0ΓaxΓx=1a   ...i as we know Γn=Γn+1n using this formula we get Γx=Γx+1xΓax=Γax+1ax

Q: - Find lim Re(2) [Hint: use z = x + iy.] z -1- i - Find lim 2+1+i 22 – 2z + 2

A:

Q: 4x-x2 lim- x-4 X-Vx 12 O 16 O 11 O 13 O السؤال 7

A:

Q: Jx-2 %3D F(x) x²+x-6 Does lim F(x) exist? x-2

A:

Q: Q27. The value of lim x-0 (1+x)5-e5x+sin x² x2 is? →

A:

Q: lim Vx2 - 5x +7 3. *2 -6x+1, lim(t1,3 4. *1

A: To evaluate: 3. limx→2x2-5x+74. limx→1-6x+183

Q: 2* – 1 x→0 V1 +x – 1 lim Evaluate

A:

Q: 9x2-7x+6 lim I 10z z+10 Evaluate: %3D

A:

Q: Find the limit

A:

Q: 20) Find lim f(x) %3D A) + o B) 1 C) 2 D) DNE 21) Find lim f(x) = _ %3D A) 1 B) 0 C) - 2 D) + 0

A: 20) limx→2f(x)=Here limx→2+f(x)≠limx→2-f(x)Therefore  limx→2f(x)=DNE…

Q: x2-2xy lim (x,y) - (2,1) x²-4y2 .A .B 1 .C 1 .D 1 4

A: We have to evaluate the following limit. lim(x,y)→(2,1)x2-2xyx2-4y2