2 1. lim f(x)- x-2+ a. b. 2 C. d. 1 e. Does not exist. 2. lin2 f(x)= a. b. 2 C. d. 1 e. Does not exist. 3. lim f(x)- x→0 a. b. 2 c. O d. 1 e. Does not exist.

Q: lim cos G+5 +

A: limx→πcosx2+π4+12

Q: The value of the limit lim is x-0 sin x а) 0 b) 1 1 c) d) ∞

A: Given options are wrong.  Limit will be e^(1/6).

Q: 10. Find the value of the limit or state that it does not exist (DNE). a) lim f(x)= =(x)s u X -3

A: Given

Q: Find the limits x2/3 + x1 lim X00 x2/3 + cos?x

A: Given: The function is f(x)=x2/3+x-1x2/3+cos2x   To determine: limx→∞ x2/3+x-1x2/3+cos2x

Q: Find the limit. Vn2 lim + 8h + 19 - 19 h→0*

A:

Q: (z+2 z< 0 sin (x) 0<æ Let F (x) = Then lim F (x) =

A:

Q: How do I find this limit?

A: Here, since limit of numerator and denominator is 0 as t approaches 0, so , we use L'hospital's rule…

Q: Evaluate the limit using L'Hôpital's rule e – x I – 1 lim 5x2

A: See the details solution in below

Q: What is the value of the limit below? (e2-1-2x)(3x - sin lim (3x)) Hー0 25

A:

Q: 2. Find the following limits, if they exist. (If they do not exist, but approach too, indicate this…

A:

Q: Evaluate the limit.

A: We have to evaluate the following limits- limh→0sin4h4h

Q: Find the limits

A:

Q: 1. Determine the following limits, or clearly explain why they do not exist. 3 - t+ sint (a) lim L…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: C- The result of the following limit is lim 1-0 sin t² t f

A: limt→0sin t2t

Q: QL Find the limit lim výti - /Zy 2.

A:

Q: |8x – 1|+ 2 (b) lim T→士o 7 – 4.x Hint: you will have to consider the limits at oo and at —00…

A: To calculate: limx→±∞ 8x-1+27-4x   Now, limx→∞ 8x-1+27-4x 8x-1 is positive when x→∞.  Therefore…

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

A: We have to find the limits of the function by L'Hospital's rule: limt→∞et+t2et-t If we limits are in…

Q: Question 2 5x limr→-0 g² + 10x – 1 c→-∞

A:

Q: Evaluate the limit: 1-Cos(9h) lim h h >0

A: Find the limit When we plug in 0 for h, the denominator becomes 0 So it is undefined.

Q: C-The result of the following limit is sin t² lim 1-0

A:

Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

A:

Q: f(x) = { S -4x? + 4x for x 0. According to the definition of the derivative, to compute f'(0), we…

A:

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) S-x +…

A: Proceed as shown below

Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

A:

Q: Find the value of the limit lim sin 6 t t - 0 sin 4 t (a) 2 (b) 1.5 (c) 1.7 (d) 1.9 (e) 1.8

A: Recall the famous rule of limit:

Q: *(e 1?Y - 1) + 3 (y – 4x²)² 17x* + 8y? + 8 (y - 4x²)? 12y Let f(x.y) = Find lim f(x.y). (x.y)-(0,0)…

A:

Q: Find the value of b-2a for which the limit ex – xex – cosbx - limx +0 exists 4 Select one: а. 3 b. 1…

A: L'Hospital's rule is a useful method to find the limits of indeterminate form. There are two…

Q: Find the limit (if it exists). If it does not exist, explain why.

A:

Q: () 9. lim cos エ}1o0 Find Enter I for o0, -I for- 00, and DNE if the limit does not exist. Answer

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

Q: 8. Calculate the following limits. (*# y + 1) /2r – y - 2 (a) lim (b) lim (2r - y + 4) (a.v)-(0,0) r…

A: given,

Q: please answer parts a, b, and c

A:

Q: Find the limit. lim t-0 sin(6t) ; + e-tj + 4k i t

A:

Q: Find the limits, if they exist, or type DNE for any which do not exist. 2x2 lim (7,y) (0,0) x2 + 2y?…

A: For different different paths , we can find limit.

Q: The function h(x) on the graph below is given by a straight lie; k(x) is given by the parabola. The…

A: Consider the given figure of the function hx and function kx. Where,  hx is a straight line and kx…

Q: Find the indicated one-sided limits, if they exist. (If an answer does not exist, enter DNE.) if x 0…

A:

Q: ez +e Find the limit lim I100 et - e Enter I for oo, -I for -oo, and DNE if the limit does not…

A: The value of given limit is 1.  As per our guidelines we can solve the first question only and one…

Q: (3) Using the appropriate approach covered in Unit 6 of this Course along with knowledge gained in…

A: Given : limx→01x-1+1x+1x=-2 Show that the given limit for the given function is -2. Consider,…

Q: Find the limit. est - 1 lim t-0 sin(t)

A:

Q: 1 Find the limit of lim x (1– e * ). X→ 00

A:

Q: find the limit or explain why it does not exist

A:

Q: 8. Find the area of the triangle formed by the x and y-axes and the tangent to the graph of y =. %3D…

A:

Q: 9. Find the limit, if it exists. (If an answer does not exist, enter DNE.) Vx²+x a) lim X--00 -3x

A: topic- limits

Q: suggested that you report answers accurate to at le sin(12a) Let f(æ) = sin(12x) We want to find the…

A:

Q: 1. Using techniques learned in this course, determine whether the following limit exists. If the…

A:

Q: 8. Find the limit: lim E1(1 130 noisieoq Isisinle bna baoes 1aq d00

A: The detailed solution is given below Thank you

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

A: Since, we have to find the limits of the function given below:-limh→0 eh-(1+h)h2 -(i)

Q: V9 + h – 3 lim h→0 h

A: We have to find the limit:  limh→0 9+h-3h

Q: |x³ + 2, if z 0' Suppose f(r) = (a) Find lim f(r). (b) Give a simple reason why f is discontinuous…

A:

Q: S, f(x) dr may not equal lim , f(x) dx. Show that 2x dx x* + 1 diverges and hence that 2x dx ? + 1…

A:

Q: What is lim ZH00 2+1 4z2 A -2 в c) D) 1 E) The limit does not exist. 1/4

A:

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.