Direction: Evaluate the following limits 3 1, lim *-0 2x -4x+1 2 +Sx +2 lim 2. a+2 Vx+6-3 *-2 3. lim -3

Q: Evaluate the limit. 2² 4x+3 lim,>∞ 3x³ - 2x+3 01 O 1/3 0:3

A: Given: limx→∞ x2-4x+33x3-2x+3  To find: Value of the limit.

Q: Evaluate the limit 5 + 2x lim 2 3x -

A:

Q: Evaluate the limit. lim (x,y) → (-5, -20) y² - 4xy y - 4x

A: Solve the following

Q: Now, use direct substitution. 1 lim X-2 x + 7 + 3) = 1/6 Thus, the value of the limit X + 7 lim X -…

A: limx->21x+7+3Directy substitute 2 for xlimx->212+7+3 13+316

Q: Lim x-0 et - 10t

A:

Q: Evaluate the limit.

A: Given limit:

Q: Evaluate the limit. 8 lim x→4+ \x-1 x + 2, / \4 – x/

A: To evaluate the limit: limx→4+xx-1-8x+214-x Solution: First we will simplify the expression and then…

Q: find limit  lim 3x^2+2/9x^3-2x^2+7 x=infinity

A: Divide both numerator and denominator by x^2.And distribute the x^2 with each term.

Q: Evaluate the limit. +4-2 limx→0

A: First rationalize the numerator.

Q: Evaluate the limit: 1 2 (2+y) 1 4 lim

A:

Q: (x²–4) lim x→-2 (x+2)

A: Given: Let y=limx→-2x2-4x+2 To Find: To evaluate the given limit.

Q: Find the indicated limit by using the limits lim (x, y)→(a, b) f(x, y) = 4 and lim (х, у) — (а, b)…

A: Given that: lim(x,y)→(a,b)f(x,y)=4, lim(x,y)→(a,b)g(x,y)=-5 To find  lim(x,y)→(a,b)f(x,y)g(x,y)

Q: Guess the value of the following limits: 1. lim -3r+2 x-2 x-2 +2x 2. lim X-0 -2x-1-2 3. lim )

A: We have to evaluate the limit for the following... 1. limx→2x2-3x+2x-22.…

Q: Find the limits 4 lim x-0 x²/5

A: We know that, limx→0ax=∞; a is any of positive constant

Q: EVALUATE THE FF. LIMITS. 1. lim (x+2)2 +3 x6+ x3 2, lim メウ- ○ x"(-2x²+5)

A: limx→1-[1x+1-1x+22+3

Q: What is lim,-3 f(x) а. b. lim,-2 f(x) c. lim0 f(x)

A:

Q: sec x lim sec(3x)

A:

Q: EVALUATE THE FF. LIMITS. 1. lim (x+2)2 +3 x6+ x x"(-2x² +5) 2, lim

A:

Q: Find the limits lim 1 as 2 – 4 а. х— 2+ b. х— 2 с. х— -2+ d. x→-2

A: Given, lim1x2-4 (a) x→2+→2+h, h→0 limh→01h2+4+4h-4 limh→01h(h+4)→∞ (b) x→2-→2-h limh→01h2+4-4h-4→∞

Q: Estimate the value of the Limits 2x 2x lim -3+ x 3 and lim x-3 X-3 |

A:

Q: 2. lim (5* +x)×

A:

Q: х-V4х+5 1. lim х-5 х2-25 1 4 2. lim х--з+ \x2+3х-18 7x2-11х-30,

A:

Q: Find the limits limx→ -∞tan-1 x

A:

Q: Evaluate the limit 7x2 3x + 4 - lim x → – 3 x – 5 -

A:

Q: cot3x Lim X-o cotx 0

A: Given limx→0cot3xcotxTo evaluate the limit:

Q: Evaluate the limit. 9 lim x → 0 8x4

A: The given limit is, limx→∞98x4. Obtain the value of the limit.…

Q: Find the limits. Write ∞ or -∞ where appropriate. limx2 - 3x + 2/x3 - 4xas x→ 0-

A: First let's write the limit properly to understand what's going on.

Q: b) limx-2+ 72-4 x²– 4

A: To evaluate: limx→2+x-2x2-4

Q: Find the limits 1- limx-+1 エ→

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: Find the limit. (If you need to use -o or ∞, enter -INFINITY or INFINITY.) r3 + 5x lim x2 + 4 -

A: evaluate the limit

Q: Evaluate the indicated limits 3z – 5z² + 7 (i) lim 1-400 8+ 2x – 5x4 lim

A: To find: limit of the given function

Q: Find the limit. 4 lim x→-2+ x + 2

A:

Q: Evaluate the limit |x – 7| lim х—7 х — 7 -

A:

Q: -2 (1+h)² lim

A:

Q: Find the limit. 1 1 x-2 х-2 x+2 lim

A:

Q: Evaluate the limit 4)². 2 + 4 16 lim

A: we have to find out the limit of given question

Q: Find the limits by rewriting the fractions first.

A: Given limit is, lim(x,y)→(1,1)xy-y-2x+2x-1

Q: Evalnate the fo llowing limits 1. lim 4x-5x+1 メ→ -4x? 2. lim I x²+5x -6 X- 4 lim (1x-7)* 3. 2.

A:

Q: Find the limits

A: Let the given limit be y - y = limx→0 7+sec2xPutting x = 0, to find the limit - y = 7+sec20y = 7+12…

Q: Evaluate the limit 1 1 - (3+y)? 2 9 lim

A: Explanation of the solution is given below...

Q: Q 10 Show using the definition of limits lim+333x2 -13x - 8= 250

A: Consider the given limit function.

Q: Uce Table of the limit valves to defermine lim 2x メー7

A:

Q: Find the limit. 3 lim ( 3 csc

A:

Q: т + 2г + 1 а) lim -1 r5 - 2r - 1

A:

Q: X4 lim x ->0

A:

Q: Find the following limits : 2*+3 1) lim x00 3x-1 2x+3 2) lim x--00 3x-1

A: A number M is said to be the limit of a function f(x) at x=a if for any arbitrarily chosen positive…

Q: Part I-Evaluate the Following Limits: 1. lim 5 X-1 2. lim (- + 2x+ 4) X-1

A: topic - limits

Q: Find the limits limx→∞csc-1 x

A: Given:limx→∞ csc-1x

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:

Q: Find the limit. 7) x6- (x - 6)2 lim A) -- B) = C) 0 D) -1

A: here option b is true