00 *tan(1/r)=? O a. 2 O b. 00 O c. Limit does not exists

Q: Evaluate the following by limit of su (3x² +5)åx (sin x)dx

A: Solution:To find the integration Formula:∫xndx=xn+1n+1+Csin2x=1-cos 2x2∫cos ax=sin axa+C

Q: 6 Which limit can be interpreted as 2 dx? (2+1)= dr? A. lim E (2) 2 (zk+1)° -k=1 n+00 O B. lim E (1)…

A: Given query is to find the correct option of the limit.

Q: Express the following limit as a DEFINITE INTEGRAL: lim k= lim =? k=1 n

A:

Q: Calculate the following limit: lim(4z)* sin(). エ Y0 Türkçe: lim(4r) sin() limitini hesaplayınız. エY0

A: To evaluate the given limit

Q: Use l’Hôpital’s rule to find the limits

A: Given Data The limit is limy→0 √(ay+a²)-a/y.   Evaluate the given limits by using l’Hospital rule,…

Q: the limit, using L'Hôpital's Rule

A:

Q: Evaluate: xydydx using inner limit 2x2 to (1 + x) and outer limit 0 to 1. O a. 0.375 O b.0.71 O c.…

A: Given

Q: I – 1 lim 2+1 In r3

A: We have to find the value of limx→1x-1lnx3 using L' Hospital rule.

Q: O The limit function of h. )= n'Sinx i+n?x is?

A:

Q: 2) Use the definition of the definite integral to write 2 e* dx as a limit. Do not evaluate this…

A: In this we use the limit  definition of definite integral

Q: O Find the limit function of th Ca)» (1- )*

A:

Q: Use L' Hopital's to find the limit as x approaches positive infinity of:  (e^(3x))/(x^(2)) I hope…

A: We use the L'hopitals rule. For that differentiate the numerator and denominator with respect to x.…

Q: So sin(t²) =? lim, »0* O a. Limit does not exist O b. 1/3 O c. 00 O d. 0 O e. 2/3

A:

Q: Use L'Hôpital's Rule to evaluate the limit L.

A:

Q: Evaluate the limit. (). lim ( sin i + cos 3' j + tan(t)k

A: Limit (f1 i + f2 j + f3 k) = Lim f1 i + Lim f2 j + Lim f3 k

Q: X COS X - sin Xx sin

A:

Q: Express the limit as a definite integral. lim E cAx, where P is a partition of [9,11] |P|-0 k = 1…

A:

Q: lim; 0 (, cos t, In t). t+1

A: limt→01t+1, cost, lnt

Q: 2e What is the limit of the function f (x) = as x + xo ? 1-e

A:

Q: What is the value of the limit lim,0o Vla,[ for the series Ey 00 (4n (4n O a. 4/3 O b. 00 O c. I O…

A: To evaluate the given limit.

Q: Which of the following limits is equal to x* dx? (A) lim k 1 3+ n00 k=1 n k* 2 (B) lim E 3+ n n n00…

A:

Q: Find the limit (If it exists). (If an answer does not exist, enter DNE. Round your answer to four…

A: This question can be solved using the concept of limits.

Q: (b). Compute each of the following limits. (i). lim,4 ". (ii). lim,0 tanz

A: For (i),     limx→ 4x2-x-12x2-4x=limx→ 4(x+3)(x-4)x(x-4)=limx→ 4x+3xPlug in the value x=4.=4+34=74

Q: Use l'Hospital's Rule to calculate the exact value of the limit ) as x→ 0- Az) fX) = e -1 and g(x) =…

A:

Q: For i = 1, 2, ..., let X; ~ U (0, 4), and Y; ~ N (2, 4), independently. Find, E (X;) E (Y;) the…

A:

Q: Find the limits in Exercis

A: To find the limit of limθ→01-cos θsin 2θ, substitute θ with 0 and the indeterminate form of limits,…

Q: valuate the following limit: sin(2xy) lim (1,4)→(0,0) x² + y² None of these. D The limit does not…

A:

Q: OF# Usc the L'Hospital's Rule to compute the limits: B) lim x+5 B00 2x+5* A) lim log, (1+ 2x+x?) and…

A:

Q: e* + e * — х2 — 2 lim —х sin?x – x2

A:

Q: 7. Find the limit as x approaches 0. F V I 2 2 O infinity O limit does not exist Oo .

A:

Q: The limit cim cos CITtht1 reeresents Jerivative of sume function flX) at Some Point X= C.what ale…

A:

Q: What is the limit of (In(e+h)-1)/ h at h=0?

A:

Q: What is the limit as t goes to 0 of    4 tan^-1(t)

A: Topic:- limit

Q: lim, y00 (e + x) =? O a. Limit does not exist. O b. 0 OC. 0 O d. 1 O e. e

A: To evaluate: limx→∞(ex+x)1/x

Q: e lim エ→e | e 1.

A:

Q: Evaluate the following limit. Use l’Hôpital’s Rule when needed.

A: Given limit is,                                 limy→0+ln10yy = limy→0+[ln(y)]10y12…

Q: With a = 0 and b = 1, use the Central Limit Theorem to approximate Pr(S150 2 70). %3D

A: Given that Xi are iid and follows Uniform(a = 0, b = 1).

Q: ind the following limit. x2 + 1 lim (x, y) - (0, 15) arctan + (y – 15)2,

A:

Q: Use l'Hôpital's Rule to find the following limit.

A: We have to evaluate the following limit using L-Hospital rule.

Q: S 56sin(t)dt Evaluate the limit lim

A: Evaluate the limit limx→0 ∫0x56sint6dtx7

Q: e limit does not exist, enter DNE.)

A:

Q: sin r lim ,3 81.

A:

Q: S6 – x – x? if a 4 - Calculate the following limits. Enter "DNE" if the limit does not exist.

A: Given data: The expression for the function is f(x)=6-x-x2 if x≤4 2x-7      if x>4. The…

Q: Let f(x) 2.x – 5 if x > 5 --- Calculate the following limits. Enter "DNE" if the limit does not…

A: Here we have, f(x)=10-x-x2 if x≤52x-5         if x>5 We have to calculate,…

Q: Evaluate | e* dx as limit of sums. a

A:

Q: By using the de finitionof the limit, prove thal (D Lim x (x+1)=D0 e) Linx cos= o

A: Let f(x) be a function defined in the open interval a,b and let c be a point in the interval a,b…

Q: Express the limit as a definite integral. n lim 2 20 AxK, where P is a partition of [ - 6, 1] ||P|→0…

A:

Q: Give the exact value of the limit (an)0il Or it diverg an= ln(3+2n+20sn?) -enlli2",204 n²)

A: Solve the following

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.