limx--->2^-     f(x), where f(x)=2x-5 if x <2                                                   x^2+2 if x is greater than or equal to 2

Q: lim x--&gt;-1, lim x--&gt;-1+, lim x--&gt;-1-,

A:

Q: lim x--> negative 0.      f(x) lim x--> 4.      f(x) lim x--> positive 0.      f(x) lim x--> 2.…

A:

Q: lim tangx X->즐 (쫄-x n2.

A: Given: limx→π2tan2xπ2-x 00 form If limx→afxg(x) is of the form 00, then we use L'Hospital's rule.…

Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

Q: 1. limx→1 x-/2-x2 x4+3x3–13x²-27x+36 2. limx-1 x²+3x-4 3. lim,1- V1 – x 3x3-x²+1 lim

A: In this question we will use basic of calculus I.e concept of limits. Solution of the above question…

Q: 1. limx→4 4x-x² 2-√√x t²+3t+2 2. limt-1 2-t-2

A:

Q: limx--->0+(1/x8-1/x4). Use l'Hôpital's Rule if appropriate.

A:

Q: \lim_(x->-\infty )((13x-2)/(x^(3)+14x-4))

A: Divide the numerator and the denominator by x3.…

Q: limx-> f(x)=3    find limx->1((f(x))2+2)

A:

Q: Does lim—>1 exist? Does lim—3 exist? Are they continuous? Discontinuous?

A:

Q: 1) lim (2x – 3) = 1 x-2 2) lim|x| = 0 x²-9 3) lim х-з х-3 9 3

A: 1)limx→2(2x-3)=1read : limit x tends to 2, (2x-3) is 1proof:limx→2(2x-3)=2(2)-3

Q: lim 3x/x+1 = 3 x--> infinity, ε = 0.5, find smallest N > 0

A: Answer

Q: Determine the following limits or state that they do not exist.

A: Given f(x)=x-4x(x+2)

Q: lim x to (0) cosecx - cotx

A: Find the limit as follows:

Q: lim- x-0 X

A: Given :limx→05x

Q: Numerically estimate accurate to 2 decimal places of lim x -> 0 ((2^x -1)/(x))

A:

Q: lim X--->0  3X(1 + cot^2 5X)

A: Given function: 3x(1+cot^2(5x)) Limit is evaluated.

Q: lim as x--> 0 of (1-2x)^1/x

A:

Q: lim 1/x^2 - 1 = infinity x--> 1+, M = 1000, find largest δ > 0

A: Use the definition of limit

Q: 1. lim x-> -7 f(x)=    2. lim x-> -3 f(x) =  3. lim x->-2- f(x)=

A: Note : As per the authoring guidelines,when multiple subparts are in one question,then only first…

Q: lim x approaches 5  ........ x - 5/[ x2 - 25]

A: Limit of the function is value that function seems to approach as x approaches certain value.

Q: How do I find the derivative using the formula: Lim h-> 0 F(x+h) - F(x) / h?  Please show the…

A:

Q: 1 f. lim-( x-→0 x`x+2 2 (1+x) -/ g. lim

A:

Q: lim x approaches 1  .... [(x^-1) - 1]/(x -1)

A: Consider a limit limx→afxgx. The conventional evaluation of the limit sometimes lead to…

Q: d- lim x+1 /V2x²+x+1

A: First take x common and then use l hospital's rule to find the answer.

Q: 2) Lim Lim / 9x +! オー→。 20- Xー1 Lim Vitx-l 父 ->6

A:

Q: 1.) lim √5-x 2.) lim √5-x 1-5 3.) lim√√5-x

A: We have to find the limit.

Q: Find the limit

A:

Q: lim x→∞ [ln(8 + 3x2) − ln(1 + x)]

A: We have to find the limit.

Q: F(x)={tan(x+3) x3-) f(x) Photo better depicts problem, thank you!

A: Given,           Fx=tanx+3x&lt;-3x+33+1-3≤x

Q: 34. lim 2-x 35. lim vx -x 36. lim vx-x 140

A:

Q: limx → 1 (x-2) / (x-1)2 ii.  limx → 1 (x2-1) / (x-1) iii. limx → 1  |x-1| / (x-1)

A:

Q: lim x-->3 f(x)=8 and lim x--->3 g(x)= -4 1) limx--->3 (3f(x)-5g(x)) 2) lim x---> G(x)^3 + 50 /  (…

A:

Q: 1.) lim 5-x 2.) lim 5-x 3.) lim 5-x

A: Given query is to find indicated limit.

Q: f -3 -2 -1 -2 -3 2.

A:

Q: f(2) = lim x--> 1-      (1/f(x))= lim x-->1-       (f(1+x))=

A:

Q: Qz tanx) lim メ→(室-x)

A: the solution is given below

Q: If lim f(x) = - infinity x-->-1+ and lim f(x)=-infinity x-->-1-, what can you say about lim f(x)…

A: answer

Q: 1f. lim (tanx)x x-&gt;0+

A: Given,

Q: cotX Lim メー→。* (いxー1)

A: First take logarithm on both sides of the equation then use L'Hospital's rule…

Q: \lim_(x->-\infty )(x^(2)+ x - 5)/(1-2x-x^(3))

A:

Q: lim (√x²+4) x--> 0

A: limx→0x2+4

Q: lim cosx x-0 x2-x+3 1-Vx-6 lim X-7 x-7

A:

Q: 1. limx→−1−  F(x)= 2.lim x--->-1+  F(x)= 3. limx-->-1  F(x)= 4.F(-1)=

A:

Q: Lim x--->2 x^2+5x+6/x+2

A:

Q: Lim x---> infonity positive 4x^3+x^3-1÷2x^3+5×-1

A:

Q: lim f(x)=3 x-->5- and lim f(x)=1 x-->5+

A:

Q: Evaluate lim x->2 (x^2 - 4x + 4) / tan^2 (x^2 - 4) without using L'Hopital's Rule.

A:

Q: . limx→1−   F(x)= 2. limx→1+   F(x)= 3. limx→1     F(x)= 4.F(1)=

A: we have to find limit.

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.