2 Find the limit or show that it does not exist. 8. lim (/4x2 + 3x + 2x) X→-0

Q: 5. Find the value(s) for the constant k such that the limit exists: lim ekx+11 3

A:

Q: 1) Find the Limit lim/→0 3x²h-7th+h h

A:

Q: (7 + h)² – 49 Evaluate the limit: lim

A:

Q: 4.x³+1 d) lim x→-o 2x3+v16x5+1

A: d) limx→-∞4x3+12x3+16x6+1limx→-∞x34+1x32x3+x616+1x6limx→-∞x34+1x32x3+x316+1x6

Q: (– 8 + h)² – 64 Evaluate the limit: lim h→0 h

A: Consider the given function for which the limit has to be evaluated. limh→0-8+h2-64h A limit is the…

Q: Estimate the limit numerically (or graphically). Use oo or -oo for too. Write DNE if the limit does…

A:

Q: 4 Find the limit lim 3 Enter I for oo, -I for -o, and DNE if the limit does not exist. Answer:

A:

Q: how did you get y^2-4xy to y-4x when there are three y's on top I input the numbers and got 0 which…

A:

Q: H.W: 1) find the limit for the following: V12-x -x lim x→3 V6+x -3 Vx? + 100 – 10 lim

A: To find the limit of limx→312-x-x6+x-3 at x=0, place the limit in the numerator and the denominator…

Q: Use L'Hoptials Rukle to find the limit of: Lim as x->-oo for (7(x^2) + 4x) / (9 - 3(x^2))

A: Solve using L'Hopitals rule

Q: (3) Find the limit if it exists. - ay? (a) lim (1.y)-(0,0) r2 + y?

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

Q: Evaluate f(4+h) – f(4) lim h→0 h where f(x) = -5x – 1. If the limit does not exist enter DNE. Limit…

A: We have to find the limit.

Q: Find the limit. 11ry lim (2, y) (0,0) x2 + y? The limit is O The limit does not exist.

A: For a two-variable function, its limit as (x,y)→(a,b) will exist if and only if the limit…

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: 9) Find the limit, if it exists, or show that the limit does not exist: lim (x,y)→(0,0) xª + 3y4

A:

Q: 1 Q.3: Discuss the limit of f (x) : at x = 0", 0*,-∞,+∞, with graphs.

A:

Q: 2. Find the limit or show that it does not exist: lim (2,y)→(0,0) 2x6 + y?

A: We have to find limit

Q: Find the limit if it exists, or show that it does not exist. xy lim (x,y)→(0,0) x² + y8

A:

Q: 8. Evaluate the limits by previous methods or by L'Hospital's Rule, if applicable: 4x3 +3x 4x b) lim…

A: We have to find limit

Q: x² + 2y? + 3z² 18. lim (x, y, 2) →(0, 0, 0) x² + y² + z?

A: We have to find the limit by two ways method

Q: – 10xy Find the limit lim (2,y) (21,y1) 25x2 at the following points. - y? – 10xy lim (2,y) (0,11)…

A:

Q: 3. Given the function y = [(x² +2x+ 1]/(x), (x0), find: (a) the limit of y as x approaches positive…

A: Given:  The function y=x2+2x+1x, x≠0 To Find:  a The limit of y as x approaches positive infinity.b…

Q: (b) Find the following limits WITHOUT using the L'Hopital’s Rule. x²–4x lim x→0- |x| (i) (ii) 2tan?x…

A: Part i,Given,           limx→0-x2-4xx

Q: b) Use L'Hôpital's Rule to evaluate the limit L. e2x lim X→∞ x2

A: We can solve part in the following steps.

Q: (e= - v2n) V2 x lim x→0+

A: Let L=limx→0+eπx-2x1x Taking ln on both the sides: ln L=lnlimx→0+eπx-2x1x here we can interchange ln…

Q: Evaluate f(4+ h) – f(4) lim h0 where f(x) =5x +7. If the limit does not exist enter DNE. Limit =

A: f(x)=5x+7

Q: 1. Evaluate the limit: ху — у lim (x, y) → (1, 2) xr - x+2xy – 2y

A: According to the guidelines In case of multiple questions we are only allowed to do the first…

Q: Find the limit L. Then use the - definition to prove that the limit is L.

A: Consider the following limit: L=limx→21-x2=1-22=1-4=-3

Q: valuate the limit 8x2 – 9x – 9 lim x→-o 7 – 7x – 10x2 E the limit does not exist enter DNE. imit =

A: We have to find limit

Q: Find the indicated limit. Note that L'Hôpital's rule may not apply or may require more than one…

A:

Q: 1. Find the limit if exists or show that the limit does not exist 3x²y² lim (,) (0,0) 24+24 y² (a)…

A: To find the limit if exists or to show that the limit does not exist.a limx, y→0, 0 3x2y2x4+y4b…

Q: c- Show that the following limit does not exist (x² - y²) lim (x,y)-(0,0) x2 + y² 2

A: Given ; lim(x, y) -(0,0)[(x2-y2)/(x2+y2)]2.

Q: Find lim x→9+ x – 9 Enter I for o, -I for -o, and DNE if the limit does not exist Answer:

A: Given query is to find the Indicated limit.

Q: A For the limit lim (x-3x + 4) = 6 illustrate Definition 2 by finding values of d that correspond to…

A: For the limit: limx→2(x3-3x+4)=6, the function is f(x)=x3-3x+4. Now, consider ε=0.2, we have the…

Q: Q.3: Discuss the limit of f (x) = - at x = 0¬, 0*,-∞, +∞, with graphs. %3D

A:

Q: 6ln (1+x) lim х>0 2е3х—2secx

A:

Q: 1. Evaluate the limit: xy - y lim (x, y) → (1, 2) x² - x+2xy - 2y

A:

Q: 2. Find the limit, if it exists, or show thaat the limit does not exists given ry - y lim…

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Q: f(8+ h)-f(8) lim h-0 where f(x) = 2x + 5. If the limit does not exist enter DNE. Limit =

A:

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

A:

Q: 4. Find the limit, if it exists or show the limit does not exist: a) b) lim 47,² (x,y)(0,0) x + y…

A:

Q: 1. Find the limit, if it exists.If the limit does not exist, explain why. (a) lim √√²+1²+1+3z² z²+1…

A:

Q: 1. Find the limit, if it exists, or show that the limit does not exist. 3xy lim (x,y)→(0,0) x² + y*…

A: Given that, To check limit exists or not, check limit along different paths. i) Limit along…

Q: Consider limZy² z-0 x2 i. What value does the limit approach as z approaches 0 along the line y = x…

A: given function limx→02y2x2-x2-y2y2i (i) what value does the limit approah as z approaches 0 along…

Q: What result do you obtain when you evaluate the limit (RHL and LHL) of the limit of (x^2-16)/(x-4)…

A: Given f(x)=x2-16x-4 LHL=limx→4-f(x) and RHL=limx→4+f(x) Here if LHL = RHL, then limit exists.

Q: lim X-o* 1+2* ve lim

A:

Q: 1. Find the indicated limit or state that is does not exist lim (3x'y- xy³) а. (x,y)→(1,3) b.…

A:

Q: 4. Find the limit or show that it does not exist 2xy a. lim (x.y)-(1,1) x²+2y² 2xy b. lim (xy)-(0,0)…

A: First we have to solve a. Given: lim(x,y)→(1,1) 2xyx2+2y2 First we evaluate: lim(x,y)→(1,1) 2xyx2…

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.