1 lim x→-∞ ex Select the correct response: O +0 O 1

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

A: Consider the limit

Q: 1— 2 — е-7 lim 2.x e sin(8x) →-

A:

Q: 1 lim E n→ 00 i=1 'n² + i?

A:

Q: 26. lim h→0 27. lim t-0 29. 28. lim t-0 Answer √1+t-√1-t t ·2+h)² +2-¹ h (17-0²-²1) t + t 4-√√ lim…

A: Fiest simplify then apply limit

Q: 1-e* lim *0+ 2x2 - 00 None of these 1 8. O O O

A:

Q: 8. lim xx = 1 00-X 9.lim (1 – 2x)x = e¯2

A:

Q: lim ax+ 1 is X->0 (d-x)(+x) - 4 ©- a d) DNE Оа O d O b Ос

A:

Q: Find the linearization of y = eV1x at x = 36. (Use symbolic notation and fractions where needed.)…

A: We have to find linearisation

Q: 1 - e7x lim 5x -0.1 -.01 -0.001 0.001 0.01 0.1 f(x)

A:

Q: 4 Find Lim x-0 2e* – 12 А. В. C. - 0.4 D. 0.5 Select one: O A O C O D NIN 13

A:

Q: 1 COS X 13. lim- ズ→0 14. lim e -3x+4 15. lim 4x+7 ー-00

A:

Q: Find

A: Given that limx→∞ 5x2+8x-33x2+2. Compute the limit as follows.

Q: 3. lim Vx+3x + 6 X-2 -1.9 -2.1 -2.01 -2.001 -2 -1.999 -1.99 fx) . lim X--2 x+3x + 6 =

A:

Q: Limits at infinity Evaluate the following limits or state thatthey do not exist.

A: Hello! thank you for the question but as per our honor code, we'll able to solve only the first…

Q: 8 d. lim 1+16 I-4 I- 16 V9r2 + 4 lim e. 2r +1

A: Explanation of the answer is as follows

Q: x² – 9 16. lim x - - 3- x +3 (4 + h)² – 16 18. lim h→0 sin²x 20. lim htan³x 4

A:

Q: 24. lim xsin- is 110 (A) 0 in(s (B) ∞ (C) nonexistent (D) - 1 (E) 1

A:

Q: 1) lim Ax) = -2 x- 5 2) f'(5) = DNE

A:

Q: Evaluating limits Evaluate the following limits, where c and kare constants.

A: "Since you have asked multiple questions we will solve the first question for you. If you want any…

Q: 54. Let L = lim 9L is equal to 2e e then the value of L= 2e2 3. and Imactting

A:

Q: 0.7 b. If the initial state is x0) =| 0.05 , find the nth state x"). 0.25 c. Find lim x"). n00 lim…

A: given for eigenvalue λ1=-13 , eigenvector v1=0 , -1 , 1 for λ2=0 , eigenvector v2=1 , 0 , -1 for…

Q: Rewrite the following as one-sided limits and evaluate.

A: (a) limx→∞3-12x34x3+3x+1=limx→∞3x3-124+3x2+1x3=0-124+0+0=-124=-3 Hence the answer.

Q: (a) lim (1+h)** - 1 h 6 - In a (b) lim 1-e (x- e6)ln x

A:

Q: 9. lim e 10. lim e sin 6x 11. lim 5*+6 12. lim

A:

Q: 4. lim-0 A. B. 1 C. sin D. Does not exist E. -1

A: We need to find limit.

Q: 1 1 e. lim 4 x+3 x-1

A: We have to solve.         limx→114-1x+3x-1

Q: tan(xy) = ? lim .2. (х.у) >(0,1) х*у+x 1 1 (b) 1 (e) (d) - (а) 0 (e) 1 4 - |3

A:

Q: السؤال 1 lim iz?-z z-- z2-1 i o -i O 1 0 -1 O

A:

Q: (2+k)dr Evaluate 1– sec (x+a) 1- sec

A: ∫2+k1-secx+adxTake the constant out=2+k·∫11-secx+adx Now,    ∫11-secx+adxLet…

Q: 4. Solve the initial value problem. Determine lim→∞ Q(t) and the time when Q(T) = 15. Q') = ;20 –…

A: The given initial value problem is Q'(t)=1420-Q(t)15020, Q(0)=5 The given differential equation is…

Q: 16-2 Evaluate: lim +4 V12+-a dne O 2 12 3 14

A:

Q: 10. a.) Use: lim 2(x1 )Ax = ] Ax)dx , i-1 b- a and x; = a +i Ax Ax = to evaluate (5x - 2x³ ]dx. b.)…

A:

Q: 1-e¬* lim x→0+ 2x2 -00 00 None of these O 1

A: We need to evaluate limx→0+1-e-x2x2 = 1-e-02(0)2 = 1-10= 00 Hence we will use L Hopital's rule It…

Q: 1 1 X sin x+sin 2x Q3/ Find the value of (x) if5 -2 1= lim 3x -1 1

A: See the attachment

Q: 1 lim x→+o x Select the correct response: O +∞ O 1 |

A:

Q: 1-e* lim *0+ 2x2 -00 00 O None of these 1 O O O O

A: The given expression is limx→0+1-e-x2x2.

Q: 3* – 1 Evaluate lim Show the steps in your solution. t→0+ 6 sin t

A:

Q: x.2* 15. lim x-0 2*-1 (A) In 2 (В) 1 (С) 2 1 (D) 1n 2

A:

Q: (x+Ax)3 4. lim Ax-0 Ar

A: The limit equation is lim∆x→0x+∆x3-x3∆x

Q: 2. lim (e* – 1)lnx

A:

Q: 32 1 xy+- |dydx Evaluate: 2 1

A:

Q: 8. im e* 2x 9. lim e* 10. lim e* x+00 x00 sin 6x 11. lim 5*+6 12. lim

A: As per guidelines we can solve only one question at a time so if you need more answer kindly repost…

Q: /10-х - 2 8. lim x-2 х+2 А. 1/12 В. -1/12 С. -12 D. DNE

A: The given function is 10-x3-2x+2. We have to find the limit of the given function at x=2.

Q: 5. Given: lim(2x – 5) = 1 X-3 Find 8 such that |(2x – 5) – 1| < 0.04 whenever 0 < |x – 3| < 8

A:

Q: 1 (iii) lim I-bt 6 – x

A:

Q: n lim (5(x;) – 3(x;)*)Ax over [0, 2] i=1

A: To convert this limit of sum as definite integral over given interval.