x²+1, x>2 f (x) ={ 2x – 2, x<2 1. lim f(x) 2. lim ƒ(x) 3. lim f (x) x-2- x-2+ x-2

Q: [x2+3x-1 a. lim 1 6 b. lim X+2 Lx-2 x2+2x-8 E. lim - h-0 h x+h Vx+h-Vx d. lim x >0 h-0 h

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

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: 1. lim (x – 4)(x² + 8) x-5 2(t-10)² 2. lim t-10 5+x-4x² 3. lim X-0 v1+x242x*

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three questions…

Q: x-2 6. lim x-2-2-V4x-x- 7. lim (-1) t-o t \vt+3

A: 6. We need to evaluate limx→2-x-22-4x-x2…

Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

A:

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: (2+h)-8 lim h-0 x2-3x 5) lim X-3 x2-9

A:

Q: im xto1 of the function e(2^x) /(x^2) .. use L'Hoptial's Rule

A: Given information: limx→1e2xx2 The objective is to evaluate the limit by using L'Hopital's rule.

Q: /1+x-1 lim 1-0 V4 - a - v4- x2

A:

Q: lim 2x2 + 7x +5 X-> -I x+1 lim 16 (Titx -1) | Xー76 lim 2x 3-54 X-7 3 X2-9 lim スーフ4 Nin -(ニル) x2-16…

A:

Q: 4 (11) lim f(x) = X-0 (12) lim f(x): %3D |-10 -8 -6 -4 4 8 10 X +0 -2 -4

A:

Q: 8x+4-4cos?x+tanx Q1) Find lim x-0 4sin2x

A:

Q: 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.…

A:

Q: х3-x2-5х-3 (х+1)* (iii) lim x-1

A:

Q: 15. lim 0 x-2 |x-2 16. lim x-2 17. lim -2r+1

A: 15- Given- limx→0x-2x-2 To Solve- The above expression.

Q: x-5 s x2 - 25 x² + 3x- 10 x + 5 19. lim 21. lim 2 +t-2 23. lim -2r - 4 25. lim X-2 x +2r? 27. lim…

A:

Q: lim +h)-f(x) h→0 >- f(x) = v5x + 1 when x %3D h 5

A: Given:  fx=5x+1x&gt;-15 To Find:  limh→0 fx+h-fxh=?

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

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

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: x² + x – 6 - f. lim "3 x² – 9 /x + 1 – 2 g. lim х — 3 * 3 x - 8 h. lim * 2 2 x- 2 3x2 + 5x - 2 i.…

A: Given tha

Q: f(x)= (x^2-2 where, x/=4). Calculate: lim x-4^- f(x)

A:

Q: f(x+2)-(3) . f'(3) = lim is 1. n-3 x-1 . f'(1) = lim f(4x+1)-(5) is 4. n-1 x-1 , f'(1) = lim…

A: Ghj

Q: (a) lim *²+3x 6x-18 x²-5x x2+5x+4 (b) lim x-3 x-3 (c) lim x-0 (d) lim ズ→ー4 x+4 x2-7x+6 (e) lim x+8…

A:

Q: 5. Evaluate lim sin(x)– (x² + 3x – e*). (x³ – 2x2 - 6 + 3x) 6. Evaluate lim X→2 х - 2

A:

Q: 5. lim -0.01 -0.001 -0.0001 0.0001 0.001 0.01 f(x) x-4 : lim x0x2 - 16 Mel

A: To complete the table and make the graph

Q: 12. lim(-x + 5x – 2) 14. lim (x – 2x² + 4x + 8) - X→-2 16. lim (8 – 3s)(2s – 1) s2/3 -

A:

Q: Answer of each of the question about the graph

A: To find out the following limits.

Q: lim x→2 f(x), where f(x) =    10  −  2x    if x < 2 x2  −  x    if x ≥ 2

A:

Q: 2. lim V2x+1-V3 ズ→1 ズー1 0.9 0.99 0.999 1.001 1.01 1.1 f(x) V2x +1-V3 : lim ズ→1 x-1

A:

Q: 3x2 (x- 1) .2, (а) lim I00 5x(2x2 +1) 2 - x3 (b) lim 1o x2 - 2x + 5 | x - 2 (c) lim x→-0 x4 –2x³ +1

A: As per Bartleby guidelines rule I am answering only first three questions. Evaluate:…

Q: 1-x c) lim- x1 1-Vx こ 11- sin x d) lim エー→0

A:

Q: 3 - 2x? +x- 2 Use L'Hopital's Rule to evaluate Support your answer graphically. lim X2 x² +x-6

A: To find: The limit by L'Hopital rule. Given information limx→2x3-2x2+x-2x2+x-6

Q: 4. lim f(x) = +∞, x-3 lim f(x) = -o x-3+

A: This is an application of calculus.

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: -5(x + 8)%x +4) f(x) = (x – 5)(x – 8) 1. lim f(r) = 25- 2. lim f(x) = 3. lim f(x) = I8- 4. lim f(x)…

A: topic - limits

Q: 6. lim f(x) = +o, lim f(x) = 0 x-1+ x-1- and f(-1) = -1

A: discontinuity

Q: 1. x-3 lim f(x) lim f(x) x→7- 2. 3. lim f(x) Xー→2+ 4. lim f(x) X8- 5. lim f(x)

A: Given;           fx=5.7380.287x 1. Find: limx→3fx             =limx→35.7380.287x Plug in the value x…

Q: x- t00 x2 25 x2 = lim x - to (x2 – 25)/x² lim = lim x → t0 x2 - 25 25/x2 1 %3D II

A: In this question we will use basic of calculus i.e concept of limits. As given in question that we…

Q: x2-x-6 lim x-2 x2-4 Vx+2-2 lim x-2 x-2 Vk+3-V3 lim k-0 k

A:

Q: 13. lim f(x), where Sx+2 xS2 3x-5 x> 2 f(x) = 14. lim f(x), where Sx* - x +1 x 3

A:

Q: 2- -2 (a) lim h(x) 4 (b) lim x--3* h(x) 4 (c) lim h(x) x--3 (d) -3 h(-3) (e) lim h(x) x-0 (f) lim…

A:

Q: 1. lim )Gt h->0 2. lim xZ X-1 X>( X-I

A: here is the solution

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: 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: (x-1)(x2-9) lim (x-3) x + 3x + 2 lim. 1-x V+8 -1 lim x+1

A: NOTE: Hi! Thank you for your question. As per the honor code, we are allowed to answer three…

Q: g) Y2-Y1 X2-X1 h) f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)-x i) lim-0 f(x+h)-f(x) (x+h)+x

A:

Q: x² - 5x – 24 lim Calculate the limit: x-3 x+3

A: the given limit is: limx→-3x2-5x-24x+3 we have to evaluate the given limit.

Q: lim-o f(x+h)-f(x) 1) Given f(x) = x2-3 find 5x+2x2+1 2) limx-ox3+3x

A: 1 We have to find limh→0fx+h-fxh for the given function fx=x2-3. 2 We have to find the limit…

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

A:

Q: f(4) = f(0) = f(-3) = lim,-2+ f(x) =, limx-2- f (x) = lim,-3+ f(x) = limy-3- f (x) = = limy-4 f(x) =…

A: