lim (x – 3)² – 4 = -4 x→3

Q: tan (xy) lim = ? (х., у) -(1.0) у+ 2ху (b) - (e) (c) 3 (d) - 4 (a) 0 (e) 1

A:

Q: 4e-6x +2 92. lim x→-0∞ 7e2x +5e3x че + 2 2l-) 3(-0) + Se de + Se 1

A:

Q: c. lim (4x -V16x² +3x - 5 X00

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: lim x 1 (2) It

A: here we have to find the value of limit. the solution is following.

Q: What is the value of x - y, if x and y satisfy the following? lim (2² – 52) = x + iy z-2-3i Your…

A: we know that (a+bi) ^2=a^2+2abi+(ib)^2

Q: 3.) lim r/z2

A: let t=x1x2ln(t)=1x2ln(x)t=e1x2ln(x)in the question it is asked to find the limit of t when x tends…

Q: xe" – In(1+x). lim

A: To evaluate the given limit.

Q: z10+1 Evaluate: lim z→i z6+1

A:

Q: 4x2 lim (a,y)(0,0) 4x2 + 4y?

A:

Q: x* – 2x²y + 4y² c) lim x' + 4y² (xyH0,0)

A:

Q: V1+ 4x6 lim t→-o 2 – x³

A:

Q: пу-1 TT 6. lim y→0_2y² + y(e2™y-1)

A: Indeterminate Forms: The symbols like 00, ∞∞, 0·∞, ∞-∞ are called indeterminate forms L'Hospital's…

Q: lim x'e = 0

A: The limit of a function (expression ) is a value of that function (expression ) approaches as the…

Q: 7. Evaluate: lim h→0 √9+h-3 h

A:

Q: find L1=lim 23+i !-2 !+2

A: Topic:- calculus

Q: 4.7 Show that does not exist. lim (x-2)(y-1) (x, y) → (2, 1)(x - 2)² + (y − 1)² -

A: In this question we have to show that limit does not exist.

Q: 5* – 1 (a) lim vour cale x + 3 (c) lim 1+0 x2 + 5x + 7

A:

Q: lim vx – 3 = 1 x→16

A:

Q: c. lim (1-x) tan

A:

Q: What is the value of c?

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

Q: Find Lim z-2Z+4 2. -im. Z-1-13i

A: This question is related to limits, We will solve it using given information.

Q: 4. Evaluate: lim(x² - 10x) x→6

A: This question can be solved by replacing x by 6 in the expression x2-10x.

Q: Evaluate the following limits. (b) lim v9r² – 5x + 3x

A:

Q: Evaluate: lim tan3x x→0 x

A:

Q: Vx² +9 – 3 lim 2

A: Given  limx→0x2+9-3x =limx→0 x2+9-3x2+9+3xx2+9+3         multiplying x2+9+3 on numerator and…

Q: 1 + x² – 4x + 3 lim T→1- T2 – x

A:

Q: 36. (х, у) —- (0, 0) lim (x + y²) In(x² + y²)

A:

Q: 1. Evaluate the following limits. 4x – 7 3x2 – 2r – 5 1 c. lim I-1- |I + ¤|

A: We put the limit .

Q: 2x Evaluate lim 1+

A:

Q: e3 1 - Find lim

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: your a ;) lim x4+メーLo メ→。 i) lim 左十 \im tメーLo X→-∞ iii) \m 4a(a+)しメー2)しメ+ム) メ→ ○

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: 1 lim t→0 \tV1 + tt, t 0

A:

Q: k lim (1+†) k→∞ k

A: We have to find limit

Q: (x +h)² – x² lim h 3 (4+x)

A: See the details solution in below

Q: lim (x,y)→(0,0) x² – y? x2 + xy + y? II

A:

Q: lim 2JX = %3D lim X- 1 В. lim x-1 Vx - 1 2JX

A:

Q: i. lim(1 + x)5

A:

Q: lim (x -Vx?+16

A: To evaluate: limx→∞x-x2+16 which is (∞-∞) form. So,  converting the above limit into ∞∞ form.

Q: lim enxen (x-1) =? Use L'Hospital's Rule

A: Given,

Q: 2 - V2r + 10 a. lim 1-3 r2 +x – 6

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (a) Write your next step in evaluating lim 10 I+3 (b) Why did you choose to do that step?

A:

Q: Can you please answer this question and show all of the steps and say the correct letter

A: Given limit

Q: lim (sec' x- tanx) O T/2 00

A: We have to find the value of given limit: limx→π2sec3 x-tan3 x We know that sec x=1cos xtan x=sin…

Q: 2. Lim Z2-1 / Z2+3Z-1

A: 2. Given,                 limZ→-16Z2-1Z2+3Z-1=?

Q: 1 lim (2) 1 x 1

A: L'Hospital Rule :  Suppose that we have one of the following cases ,             limx→a f(x)g(x) =…

Q: x-1 lim エ→1VX -1

A:

Q: sin' 2x d) lim- x-0 sin' 3x

A:

Q: steps: -x*-5x lim arctan 4+3x2-2. V1+4x6 b. lim lim (V9x2 + 2x + 3x) С.

A: Solving by limit theorem we have

Q: [x-al (a>o) Lim x+ 80a - la 2

A: From the given problem: limx→a-x-ax2+80a2-9a

Q: 4t Vt-t 2-7t/E lim t - 00

A: Simplify the limit