Evaluate the following limit: x3-ze?y lim (x,y,z)- (-1,0,4) 6x+2y-3z .A .B -5 12 .C 5 18

Q: 5x - 10x2-7x lim 5- 8x-5x3 5x – 10x? - 7x 1. %3D 2. lim 5 - 8x 5x3 II

A: I will solve this by taking the common factor out of denominator and numerator and cancelling it.

Q: Evaluate the limit lim Vr? + 6x + 18 I+ 00

A: Given that: limx→∞x2+6x+18-x

Q: om the table, determine the following limits. I-5 1. lim I-3- I-3 HI5 4. lim I-3- r2 - 6r +9 5. lim…

A:

Q: Find the limit. 3) lim Vx2 + 5x - Vx2 - 3x X00

A: To find the given limit.limx→∞x2+5x-x2-3x

Q: 5. Evaluate the given limits, or justify why they do not exist: -9 a. lim 3HI3 3r-8 b. 2x+6 4.x+1 c.…

A:

Q: Find the limit: lim z 100 √x - 10 x 100

A:

Q: Evaluate the following limit: x3-ze?y lim (x,y,z)-(-1,0,4) 6x+2y-3z .A 5 18 .B .C -5 12 .D 12

A:

Q: Evaluate the limit: lim:→-6 (t², −8t, ½ ) = (00

A: we have given limit to evaluate

Q: (b) lim Sx6 x-2 1. Find the limit: x-2

A: The given limit is: limx→2x2-5x+6x-2 To find the value of the limit.

Q: Find the following limit. J4x +1 2 lim 5х + 1 V4x2 +1 lim (Simplify your answer.) %3D 5х + 1 II

A: Given:

Q: Evaluate the limit lim, 5 a. 2 b. 0 C -1 x d. I

A: Given: limx→5 x+11x-1

Q: Evaluate Given Limits a. Lim (6h+h²+3) →>0 b. Limo 4h+h² 4 c. Lim (1+2h+h² +2+2h) d. Limo 2xh+h²-2h…

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Q: find the limit or explain why it does not exist. x? + x lim + + 2x4 + x³ a. as x→0 b. as x→ -1

A:

Q: Find the Limit 2 - V? 3b. lim 1-2 r + 2 - Va? + 4x + 4

A:

Q: Find the limit, if it exists. Find: lim X--4 O-8 16 8 -24 x² - 16 X+

A:

Q: Name: 2163 288x 12r2 28x +16 - 54x - 72 2 Q 1 Find the following limit if it exists: lim,

A: We  factor the numerator using factor by grouping.

Q: ах Determine the values of a and b such that lim Vax +b – 3 = 5. x→0 bx

A:

Q: ATE THE FOLLOWING LIMIT -2x²+2x+6

A: 1.789

Q: Find the limit L. 2x2 + 8x + 6 lim X--3 x + 3 L =

A: Factorise 2x2+8x+6 2x2+8x+6=2x2+6x+2x+6                     =2x(x+3)+2(x+3)…

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.