2 -2 2 4 lim_f(x) = 10. lim f(x) 9. x→-3 x→3 11. lim f(x) 12. f(-3) = - x→0 13. lim f(x) = x→4- 14. f(3) = lim f(x) = x→4+ 16. f(4) = 15.

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

A:

Q: 1.) lim f(x) = X→-7+ 3.) f(3) = 5.) f(0) = 7.) lim f(x) = x→0+ 9.) lim f(x) = X→3+ 2.) lim f(x) =…

A: The objective is to determine the limit if it exist.

Q: lim_(x->1^(-))f(x)={x^(3)+9,x<1}

A: To find: limx→1-f(x)where f(x)=x3+9, x&lt;1. Calculation: We need to find the left hand limit of x=1…

Q: 3- Vx Determine lim- x+4 x-9

A: Given limx→43-xx-9

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: с — 2 а. x→0 x5 – 43 х — 2 lim- b. lim x→2 x5 - 4x3 х — 2 С. lim x→-2 x5 4x3

A: a) limx→0x-2x5-4x3 Left Hand limit- The function decreases without bound. so, limx→0-x-2x5-4x3=-∞

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

A:

Q: 1. lim(2x – 5) x+4 2. lim(3x + 8) x-1 3. lim *+1 X-2 x-5

A: Disclaimer: Since you have posted multiple question, we will be solving first three. In case you…

Q: lim h--->0 (f(2+h)-f(2)) / h , where f(x)=4x+8

A: Given f(x)=4x+8 So f(2+h)=4(2+h)+8=4h+16 And f(2)=4(2)+8=16

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

A: Answer

Q: 2 1 lim х->1| х — 1 X→1 X - 1

A:

Q: limx--->2^-     f(x), where f(x)=2x-5 if x <2…

A: limx-&gt;a- f(x) = limh-&gt;0 f(a-h)

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

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

Q: 5. If lim f(x, y) = 5 (x,y)→(3,–7)" %3D for every curve C in R? containing the point (3, -7), what…

A: If limx,y→3,−7fx,y=5  is true, then it represents that limit exists atpoint (3,-7) for function…

Q: -7; x<-3 { (x + 2)3 – 6; (x- 2)2 – 5; f (x) = -3 < x < 0 %3D x 2 0 1. lim f(x) = X→-3+ 2. lim f(x)…

A: Given: f(x) :  -7  ;  x ≤ -3 (x+2)3 - 6 ;  -3 &lt; x &lt; 0 ( x -2)2 - 5 ;  x ≥ 0

Q: -2 (a) lim h(x) X--3 (b) lim h(x) x--3+ lim h(x) x- -3 (d) h(-3) (e) lim h(x) X- 0 1 lim h(x) x- 0+…

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 (2x + 5) 2. lim (10 - 3x) X12 --7 3. lim(-x + 5x- 2) 4. lim (x- 2x + 4x + 8) ュー-2 5. lim 8(t-…

A:

Q: 1. lim (3x + 2) X--3 2. lim(1-x2) -2x2+ 4) X-1 3. lim(3x

A:

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

A:

Q: 2-x x+²√√x+2-√√3x-2 c) lim-

A:

Q: sin6x V1. Tentukan hasil dari limit berikut lim- x-0 5x Jawab: . sin4x + sin2x V2. Tentukan hasil…

A:

Q: limx->0+ (x^(e) -5x^(4) -3x^(6) - x^(3) +100)

A:

Q: 1,0 1,0

A: limx→a f(x)=L if and only if limx→a+  f(x) = limx→a- f(x) =L.

Q: x2-3x-4 3. lim x---1 x+1 1- -5 2- zero 2- 4- -3

A:

Q: x-2 j) lim -3x+2 3x+2x lim 0 x+4x k) x2 -3x+2 lim 2 x - 2x I) lim -x 1-x im m)

A: We will find the value of Given limit.

Q: х2 + 3x + 2 lim х> -1 х2 —х — 2 Vx – 3 lim х— 9- х — 9 4 — х lim x→ 4 5 – Vx² + 9

A: To evaluate the limits. limx→-1x2+3x+2x2-x-2 Solution:…

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: 1) lim-sinxr x-0

A: given equation is     limx--&gt;0  (x-sinx) / x³ ** L hospital rule =&gt;    limx--&gt;0  f(x) /…

Q: 8- 6- y = h(x) y = h(x) -4 -3 2 -2- 2. lim, h(x): 3. lim,→2- h(x): 4. lim,-2+ h(x): 5. limy-2 h(x):…

A: Find the following value from the graph:

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: 2x³ – 3x³ + 7x-1 lim X-→+∞ 7x – xª + x² –3 2.x5 – 3x3 +7x6 – 1 lim 7x - x4 + x² – 3 X->-00

A: (a)     limx→∞       2x5-3x3+7x-17x5-x4+x2         we take commom x5             limx→∞…

Q: Calcule el siguiente límite: 1 -3X lim (e3x +e 1)- -

A:

Q: 2x + 4 h(x) = 1 2x 1 f (x) = 1 –x g(x) = 3( x + 2x 6. | 3 -- 8. a.lim -4 · f (x) d.lim (8 · f(x) –…

A: Given:      fx=1-18x      gx=3x+2x6+4     hx=2x6-2x+13

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

A:

Q: lim 3^x = 0 x--> -infinity, ε = 1/2, find smallest-magnitude N <

A: Use the definition of limit

Q: (r-2)(z²–3z+4) Use the graph of f(x) = (x-2)(z²–3z+4) (포-2) to evaluate lim- (포-2) O 2 3 does not…

A:

Q: 1 1 i] lim 2 1--3 x-2 ii] lim- x-* 2x-6

A: Apply put the limit and solve it

Q: x2 – 2 3. lim x→2+ [x – x | x2 + 2x 4. lim x→0 x2 2.x - x2 5. lim x→2 10x + 16 - x2 – x – 2 - -

A:

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

A:

Q: 5. ) lim x-0 x +1 x2 +9 (b) lim (7 -2) 1 x2 +9 (c) lim- (d)lim n-00

A:

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: x +x+2 1. lim 2 x→3* x - 2x–3 V 2. lim x→2* x-2 x² – 4 H-4 3. lim x→4 x-4 1 4. lim x+5* x - 5 x- 2…

A:

Q: The process by which we determine limits of rational functions applies equally well to ratios…

A: Note: Since you have posted multiple questions we will solve only the first question (question 23)…

Q: V4-4x+x' 18. lim x-2 19. lim 4+1-V4-t x-1 20. lim Vx+3-2 7+31 21. lim (t+2)-(1-2)

A:

Q: X-2 lim = 2 a. By L'Hopital's Rule, x→² X²-1 1 1 lim = x→2 2x 4

A: