k (x + h)" – kr" lim h0 h

Q: 2.x – 3 - Find lim x→-∞ 4 – V5x² – x – 2

A:

Q: sec x -1 lim -

A:

Q: Find the indicated limit. a) V3x+5-V5 lim a) b) x*+2x3-15х2 lim х-з х3+2x2-9х-18 b)

A: As per our policy we have to do only single question.  A) 3/(2√5)  B) 12/5

Q: Evalugte lim(3x-1)/x Xー>○ X/2

A: The solution is :

Q: x-7 Evaluate lim- +1 Jx-3 - 2 Vx- 3 –

A: Consider the given fraction: limx→7x−7x−3−2Rationalize the…

Q: x²-4x+4 1. Find lim- 2 x+x-6

A: Part 1,

Q: Evaluate the limit. lim I->0 V1+ 7x -1

A: Using limit,

Q: 1-x-x² (c) lim x+∞ 2x²-3x+1

A: The answer is given below:

Q: x²y Find the lim (x,y)→(0,0) x4+y2 '

A: Find the limit

Q: a. Using the Sandwich Theorem to find: lim f (x) If v5 – 2x2 <f(x)< V5-

A:

Q: r+ 2 Calculate the limit lim 1-2 x2 – 3x – 10°

A: By using L'hopital's rule, we find the limit of the function.

Q: *+1 Find lim H00 3x - 4x +5 if it exists. Find lim(1 + r), if it exists. X-4

A:

Q: 1. Evaluate. x'- 2x +12 a) lim x² +1 x² -8x + 7 b) lim- x-7

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

Q: 2x e-2x2 lim २३

A: We can find the solution by applying the L' Hospital's rule for limit calculation.Here if we get 0/0…

Q: Evaluate the limit.

A: Given:                     limx→∞e4x-1-4xx2 Dividing the numerator by highest power denominator:…

Q: et-1 - 1 (b) lim x1 x2 - 1

A:

Q: 1+t-V1-t lim

A: To evaluate: limt→01+t-1-tt   if we substitute t=0, we get 00 (indeterminate form)   Consider…

Q: (a) lim 1+ x2

A: Solving the problem by obtaining the limit.

Q: -f(x): a. lim

A: We'll answer the first question only since the exact one wasn't specified. Please submit a new…

Q: x*-a* If lim (108 * T'), find the value of "a". х-а х-а

A:

Q: a) Find the limits: 1- lim- X-1x-x 2- lím 0 V+4-2 5x 3- lim

A:

Q: 9- 3x x ス-2 g (x)= ax + 3b 4x t b to Find A and B lim g(x) x->-2 lim 9 (x) メー>」

A: g(x)=a-3x,x&lt;-2ax+3b,-2≤x≤14x+b,x&gt;1

Q: V3+x-V3 is limx→0

A:

Q: x+3-V3 Q27.a) Find lim- X0

A:

Q: Find the limits: Vx - 1 lim х>1 х — 1 a. 2x3 b. lim х- оо 3(х-2)2 2x3 с. lim х-2 3(х-2)2 x+1 d. lim…

A: Since there are multiple questions posted, we will answer the first question (1). If you want the…

Q: x²-1 X If lim x0 x+1 - ax - b} = 2, Find the values of a and b.

A:

Q: hg limits exactly. x3+3x2-11x-68 lim x2-7x+12 X4

A:

Q: x-2x x (水) 3t-4 t- lim 4-t

A:

Q: d) (x+27) -3 X lim-

A:

Q: 2x² + x – 1t lim x→-1 x + 1

A:

Q: Н.W: 3 lim x*-2x2-8 1-x2 х2-4 3- lim V3x-3 X-3 2- lim (1+x)2-1

A:

Q: your a ;) lim x4+メーLo メ→。 i) lim 左十 \im tメーLo X→-∞ iii) \m 4a(a+)しメー2)しメ+ム) メ→ ○

A: Since you have asked multiple question, we will solve the first 3 question for you as per our guide…

Q: a lim 6. *a Jx- Ja -x

A:

Q: 2+x a) lim x-22+x²

A:

Q: x2-x-6 lim Find: x-2

A: Given

Q: Find the limit. 6et - 6 v1 + t - 1 | lim t-0 t 1 + t Lol +

A: To find ,limt→0 6et-6t, 1+t-1t, 51+t

Q: Exercise To Try 21 Find the horizontal and vertical asymptotes of f(x) = V9x²+1 x+2 9x² + 1 lim x +…

A:

Q: 1 + (a) Lim X-1 'x+1, -2

A:

Q: a. lim f(x) X-4

A:

Q: x° - 27 (b) lim x² -9 x→3

A: Given, limx→3x3-27x2-9

Q: 2x -x+3 compute lim ∞ x- 2r +5

A: To compute the limit:  limx→∞2x2-x+3x2-2x+5 Solution: We know that, 1∞=0 Taking out x2 from both…

Q: 4-4e* lim X0 xex 7) Find:

A: limx→04-4exxex We need to find the limit

Q: (x+h)³-x³ lim h=3

A: Explanation of the answer is as follows

Q: a) lim 3x + x2 x→1

A: We are asked to find the limit.

Q: Find the limits

A: Find the limits

Q: 3 - m3 x + 2 2 . lim lim x-2 x + 2'x2 – x – 6 A- m4 lim as x approaches m 1. LO

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: f(x+Ax)-f(x) Find lim 4x-0 if f(x) = 4x + 5. Дх

A: NOTE: Refresh your page if you can't see any equations. .

Q: Evaluate r-8 a) lim- T6 -Vx-2 3.x-1 b) lim ²-1 『→ーズ

A: a) Evaluate the limit limx→8x-86-x-2 as shown below.…

Q: x-2 Evaluate: lim Vx-1 - 1 X-2

A: Givrn limit, limx→2x-2x-1-1 is in 00 indeterminate form

Q: Q1: b: Evaluate the limit: (1) lim-11 17-1 x-1 -2x-4 (2) lim,--23+2x² sin(x-3) (3) lim,-3²-9

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.