f(x) – 5 79. If lim 1, find lim f(x). x→4 X – 2 x→4

Q: (3g(x) – Sh(z) If lim g(z) = 13 and lim h(z) = 27 then lim-

A:

Q: If f(x)=2-3x². O a. O b. O c. lim h→0 lim h→0 lim 30 From first principles select the correct step.…

A: Given :fx=2-3x2

Q: If lim f(x) = 11 and lim g(x) = 30 then lim[4f(x)g(x) – 5] = %3D O 1315

A: To solve limx→94f(x)g(x)-5, use the difference rule of limits, limx→ca(x)-b(x)=limx→ca(x)-limx→cb(x)…

Q: (-금x+ 2, x 0 exist? If yes, give its value. If not, why?

A:

Q: x-1 numerically. Vx-1 Estimate lim

A: Using rationalization method.

Q: ー2 a) lim X >6 (x-6)3 b) lim E) ゼ+t

A:

Q: Find the limit (if it exist)

A: Given:

Q: Given: limx→+∞ f(x)=4 limx→+∞ g(x)=3 limx→+∞ h(x)=-7 Find: limx→+∞ [f(x)+3g(x)] = ? limx→+∞…

A:

Q: Find the limit. 3e - 3 V1 + t - 1 4 lim 1 +t/

A: We have to find the limit of this Vector. If the limit 0/0 form, then we can use L' Hospital rule.…

Q: x2 +1 Can L'Hôpital's Rule be applied to lim x→1 2x + 1

A: To check if the L'Hospital's Rule can be applied or not, first we need to find the limit by directly…

Q: Evaluate

A: To evaluate limx→0 e2x-1xSubstituting x=0 , 00 form is obtained Hence , L' Hospital's rule can be…

Q: If lim g(x) = 10 and lim h(x) = 28 then x5 x5 lim [2g(x)+ 5h(æ)] x5

A: Solution to the first question: Given,            limx→5g(x) = 10  and limx→5h(x) =28

Q: 26. What is the value of lim A. - 2 B. - 1 1-cost t→0 t C.0 D. 1 - ?

A:

Q: lim, 1 f(x) = %3D

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

Q: Q2 e valuat of the fallowing 2. ☺ lim L(x +3)t -16] xーース ☺ lim -25 X+5 メー5 lim |-X 3+X 9. X-3 メー] O…

A: To evaluate the given limits.

Q: If 3x 2 s f(x) s x² - 3x +7 for x 2 0, find lim f(x). x3

A: Given:  3x-2 ≤ f(x) <= x²-3x + 7 for x ≥ 0

Q: x² - 7x y +12y Evaluate lim(x,y)→(3,1) х- Зу

A: The given expression is limx,y→3,1x2-7xy+12y2x-3y

Q: Find the limits. f(x) = 2x2 – 3x + 39, = Vx + 5 (a) lim f(x) x→4 lim g(x) = (b) x→59 (c) lim g(f(x))…

A:

Q: (x)- f(1) lim f(x) = 2 , where x-1 х-1

A:

Q: Vx- 2 4. lim- x-2 x2 - 4 y-1 5. lim- Vy? +3 – 2

A: We can apply the limit to the expression by applying the limit as value for the variable in the…

Q: Prove the limit statements

A: Given: fx=4-2x,x<16x-4,x≥1 we know that limit of any given function at given point exist only if…

Q: 3. Find the indicated limits. if x 2 f(x) -2+ 4x – x² a) lim f(x) x→2+ b) lim f(x) x→2- c) lim f…

A:

Q: (a) lim x→2 arctan(7-3x)-" 2х-4 4 (b) 10-e5x lim x→00 16-x2

A: See the calculation and explanation below

Q: 22. If lim f(x) = 18 and lim g(x) = -1.5, find the lim %3D %3D x-a L4g(x). xa А. 6 -3 С. -1 D. -7 В.

A: 22) If limx→afx=18 and limx→agx=-1.5 , find the limx→afx4gx

Q: Q.4: Prove or disprove, lim f(x) = 4 If f(x) = x # 2 x = 2' I-2

A:

Q: Along the path x = e find lim (2,y)→(1,0) y²+6zy 3x-y-3

A: To evaluate the given limit: lim(x,y)→(1,0)y2+6xy3x-y-3 along the path x=ey. Here,…

Q: y of -4 -2 -2 (a) (1) (b) lim f(x) x-1 2.

A:

Q: If 3x – 2 s f(x) < x² - 3x + 7 for x 2 0, find lim f(x). X3

A: 3x-2≤f(x)≤x2-3x+7

Q: Find the limit L. Vx - 3 1 lim X 4 X- 4 L =

A: After the substitution of limits the function gives an indeterminate form 00.

Q: Q2: Find the limit r + 3 lim x-3 x + 4x + 3

A: We have to find limit

Q: f(x)=(1-2x)/x, find lim f(x) approaches 3 and limit f(x) approaches 4

A: Given that the function is,

Q: {x² +7, 14, x = 4 lim f(x), where f(x) =

A:

Q: Jx-2 %3D F(x) x²+x-6 Does lim F(x) exist? x-2

A:

Q: Find lim at inf: (x^2 + 2x)/(x - 7) Don't use L'H

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: 3x +x 6. Evaluate the limit: lim- x→0 а. О С. 1 b. 3 d. -1

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

Q: x+1 If f (x) : Solve to find lim f(x)? Vx2+5-x'

A: We find limit

Q: If V5 - 2r s f(x) < V5 - x for -1 sxs 1, find lim, 0 f(x).

A: Given: 5-2x2≤f(x)≤5-x2

Q: Va-2x Let f(x) = Find lim f(x)? x+1 +x-

A: Given function :

Q: f(x) – 4 If lim х-з х-2 3, find lim f(x). x-3

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: (x² - 3) 7. Build a table to estimate lim sin x

A:

Q: x' -x+1 Evaluate (iii) lim 5x' +7 and show work

A: The given limit can be evaluated by taking x3 as common from numerator and denominator

Q: x2 – 1 t(2) = 1 What is lim t(x)?

A:

Q: x2 + 8x + 12 Evaluate the limit: lim x→ - 6 x + 6

A:

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: Along the path x = e" find y +4xy lim (х.)- (1,0) Зх — у -3 does not exist O -2 -3 2 0 30

A: Explanation of the answer is as follows

Q: 6tan x t(x) = 83 What is lim t(x)? Provide your answer below:

A:

Q: d) If f (2) = 4 then lim [f (x)]² [ Select ] 16 T→2 e) If lim (5f (x)) = 15 , then lim f (x) = 3 . […

A: d) Given: f2=4 But we can not say whether f(x) is continuous at x = 2 or not, if f(x) is continuous…