1. f(x) 4 3 2. 1+ + + -4 -2 -1 1 4. +-1 a. ズ→ -4- lim f(x) b. lim f(x) c. lim f(x) x-1 x- 4 d. im f(x) e. f(-4) f. lim f(x) x- -00

Q: 4 if x 2 Find the value of c such that lim f(x) exists. x→2

A: Given the piecewise function :

Q: Find the limit for when x -> 4 lim F(x), for f(x)= x2+2 ; x≠4 ; 27; x=4

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: Find lim x→∞ h(x), if it exists. f(x) = 9x2 + 2x + 7   (a)     h(x) =  f(x) x lim x→∞ h(x) =

A: We are asked to find the limit of the function.

Q: Determine whether the function x2 + 2 x > 2 f(x) = x = 2 is continuous at the 4х — 2 x < 2 given…

A: First of all we will find the left hand limit at X equal to 2 and then find the right hand limit X…

Q: 2) Show that the_lim. 1) xy2 lim (x,y)→(0,0) x² +y²

A:

Q: 11. If f(x)=Vx f(x)-f(4)| The lim x→4 х-4

A: Given: fx=x To Find:  limx→4fx-f4x-4=?

Q: 2-Given that: lim,-o ƒ (x) = 2 lim,--o g(x) = –-1.2 lim,-o k(x) = 0.8 Find: A- lim,-o[f(x) + g(x) –…

A: Given limx→0fx=2limx→0gx=-1.2limx→0kx=0.8

Q: 1. Use the definition to show that x² - y² lim (x,y)→(0,0) x² - y² = 0.

A:

Q: if z 3 f(x) = {3 -1 (a) lim,40+ f(x) (d) lim,-3- f(x) (b) lim,40- f(x) (e) lim,43+ f(x) (c) limz-0…

A: Given the function f(x) = -xif  x&lt;03-xif  0≤x&lt;3(x-3)2if  x&gt;3

Q: 3x lim x→0 x2 + 2x

A:

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: 9. Given that limx→3 f(x) = 2 and limx→3 g(x) = −5 compute the following limits: (a) limx→3 2f(x)…

A: Given that limx→3f(x)=2 and limx→3g(x)=-5

Q: Find lim,-1 f(x) -3 -2 -1 2 O lim,→-1 f(x) = 2 O lim,-1 f(x) = 1 O lim,-1f(x) = -1 Lx→-1 f(x) = –1 O…

A:

Q: 1. Evaluate the limit for the graph lim f (x). x→1" f(x) 51 4- 3 2 1- -3 -2 -1 1 2 3 4 -1 а. 1 c.…

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: (1) Evaluate the following x²+3x (a) lim x-0 бх-18 x²-5x (b) lim x-3 x-3 x²+5x+4 (c) lim x-0 (d) lim…

A:

Q: f(x) = x²+13z+40 x+5 %3D f(x) f(x) -5.1 -4.9 -5.01 -4.99 -5.001 -4.999 Based on the above, what do…

A: Given ,limx→5x2+13x+40x+5

Q: (1) Evaluate the following x²+3x (a) lim ズ→0 (b) lim x-3 x-3 бх-18 x²-5x x²+5x+4 (c) lim (d) lim…

A:

Q: (-1)"f" cost =1--+ 4! 2 (2n)! In(1+t) =t-+ 3 -.+(-1)*-"4 +... n Yukarıda verilen cost ve In(1+x)'in…

A:

Q: a. Find the Domain for y = = /4 -x + ! b. For what value of (k) is the function y-f(x) continuous at…

A:

Q: _11. If lim (x² +1) = 2, and x = 2.5, then x->-1 lim (x² + 1) is equal to. x-2.5 A. 5.25 C. 6.25 B.…

A:

Q: 1. Evaluate the following limit: x? -4 a. lim- 1+2x + 2x – 8 (x²-9) 2 b. lim 1+3 (x -3) (t - 3) c.…

A: If putting the value of variable value of function approaches 0/0 we should apply L hospital rule…

Q: a) b) c) -4 -3 -2 -1 lim f (x) x-1 lim f(x) X→-2 lim ¿ x- 2*¹ f (x) ¿ f(x) LO 4+ 3- 2+ 1- 0 H -2+ 1…

A: Given that a graph and we find given limits - a) lim(x tends to 1) f(x). b) lim(x tends to -2) f(x).…

Q: -1, x0 c. lim f(x), where f(x) =

A:

Q: 4. Determine the limits: a) b) 4x²-8xy lim (x,y)-(2,1) (x²-xy-2y², lim (x,y) → (0,0)…

A:

Q: 12. Given f(x)=x² – 4x – 5. Find lim fx) –{2) x-2 2

A:

Q: 17. f(x) * g(x) if x s1 L(x) = x+k if x >1 and limx¬1 f(x) = 3 and limy¬1 g(x) = -5

A: see below the answer

Q: 2. Consider the function: + 3 if x 2 %3D 17 if x = 2. %3D Find lim, 2 f(x).

A: Function given is- f(x)=x2+3       if x&lt;2x3-1      if x&gt;217           if x=2  To find…

Q: Suppose a state's income tax code states that tax liability is 18% on the first $19,500 of taxable…

A: The tax function,   T(x)=a+0.18xx≤19,500b+0.14x-19,500x&gt;19,500

Q: 21. The cost of manufacturing a particular videotape (in dollars) is C(x)=15,000+ 45x , where x is…

A: cost function C(x)=15,000+45 x

Q: |x– 1, ifz> 0 estimate lim f(x).- [ 1, if z 4 5. а. 1/4 b. 2 c. does not exist d. 16

A: 4. f(x)=1,if x&lt;0x-1,if x≥05. f(x)=1x,if x&lt;4x2,if x≥4

Q: Q1/ Find the following 1. lim x2 + 1 = 2 x00 (x-2)2 2. lim x-2 (x-2)(x+2) 3. lim (5 -) x-0

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Q: 16. If f(x) = 2x – 1, what is lim x+h h B. - С. —2 D. 2 NIN

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Q: 1/x, if x – 1 С. 1/x, if x – 1[ %3D X- -1

A: c) f(x) = 1/xx≤-1x2-2x&gt;-1limx→0f(x) = limx→0(x2-2) = 02-2 = 0-2 = -2

Q: i. Calculate the following limit: 2x|x – 1| lim - x-1 x-1 ii. Determine the limit of f(x) when x…

A:

Q: 2x-1 2. lim X-2 \3x+4,

A:

Q: x' + 2, if x 0 (a) Find lim f(x).

A: Since , the only point of discontinuity can be zero . For rest of the points on ℝ the function is…

Q: Show that 2 x² - y² - 1 lim (x,y) →(1,0) 1 − x + (2y)² - does not exist.

A:

Q: Find lim h(x), if it exists. X- 00 f(x) = 3x2 + 2x + 9 f(x) (a) h(x) lim h(x) = X- 00 f(x) h(x) = x2…

A:

Q: Given f(x) = 2x^2 + x -15 all divided by x+3 find lim x -> -3^f(x) algebraically is f(x) continous…

A:

Q: From the graph: (x) is discontinuous at x= 3 because of (a) Lim f(x) = f(3) (b) Lim f(x) doesn't…

A: According to graph at x = 3

Q: x² +1 if x -1

A:

Q: x² + 1 x – 1' if x -1 | бх — 4 3x² + 4x 1 O Evaluate: lim x2/3 + Зх + 2 4

A:

Q: If lim as t approaches 4 of the function ((g(x)-6)/(t-1))=1. Find lim t approaches 4 of g(t).

A: The given function is ((g(x) - 6) / (t - 1))  As limit t approaches to 4 the value of the function…

Q: 1/(1+e^(1/x)) state the value of each limit. lim f(x) as x -> 0- lim f(x) as x ->0+ lim f(x) as x…

A: Given:  f(x)=11+e1/x

Q: 6. Given f(x)= { 3, if x < -2    x, if -2 ≤ x<8    x+3, if x≥8  estimate lim f(x) x→−2     a.-2…

A:

Q: Q.4: Prove or disprove, lim f(x) = 4 If f (x) = } x # 2 x = 2 x→2 2.

A:

Q: 1. Evaluate lim (2x-5) given its graph below. X-2 b. -1 c. 2 d. 1 а. О 2. Given the graph of f(x)…

A:

Q: 2. Complete the table by computing f(x) at the given values of x, accurate to five decimal places.…

A:

Q: 8. If f (x) = -x² + x, which expression represents f'(x) ? -(x+h)²+(x+h)-(-x²+x) А. h…

A: