4 2 -3 -2 -1 3. (a) lim f(x) = %3D 21- (b) lim f(a) = 21+ (c) lim f(a) =

Q: 9y - 9x Find lim (*,) → (0,0) 18 /y – 18 /x

A: Given :          limx,y→0,09y2-9x218y-18x

Q: 2J(x) g(@) lim (h(x))² - f(x)g(æ) +1

A:

Q: V1+x – VT– x lim ||

A:

Q: lim as x approaches 4 from the right of 8-2x/|x2-x-12| a. 2  b.-2  c. -1  d. 4  e. infinity

A: The given expression is,

Q: Use the graph of y = f(x) to find lim f(x). X18 a) JU 2+ lim f(x) = y = 0 y = -3 1. -2 −2+ x = -3…

A: (a) By using graph to find limx→∞ fx. (b) By using graph to find limx→3+ fx

Q: 7x + 2 14. Evaluate lim a-00 V42 + 3 (a) 0 7 (b) 4 7 (d) Te)

A:

Q: х-2 (d) lim x→3 x+3

A: Given: L=limx→3x-2x+3 For evaluating given limit, we put x=3 in given expression

Q: 2x2 The value of lim will be ... (x.y) → (0,0) X² + y?

A: To find the value of the given limit we will consider a path y = mx.

Q: lim (5+

A:

Q: f(2 + h) – f(2) Find lim if f(x) = x + 4. h h→0 f(2 + h) – f(2) lim (Simplify your answer.) h h→0

A: We first find f(2+h) and f(2) by plugging x=2+h and x=2 respectively.…

Q: bx Tim (1+2) b 818

A:

Q: (c). lim 40+ (--) tanz

A: Limx-0+ (1/x)tanxFind the limit.

Q: (a) lim (x) X-18 9. (b) lim f(x) lim f(x) (c) X-9 (d) lim (x) DNE (e) R-9) 9. (r) lim x) DNE

A:

Q: V3+h -V3 Evaluate lim h→0 2.

A:

Q: 2х e -1 (2) Lim (H.W)

A: To evaluate the given limit

Q: If lim, 2 f(x) = 17, lim,2 9(x) = 13, 29(z) f(r) %3D then lim, 2

A: Follow the procedure given below.

Q: In parts (A)-(C), find the indicated quantity for y = f(x) = 5 – x². A) f(- 1)– f(– 2) (-1)-(-2) f(…

A: Given function is y=f(x)=5-x2f(-1)=5-(-1)2=5-1=4f(-2)=5-(-2)2=5-4=1f(-2+h)=5-(-2+h)2=1+4h-h2…

Q: 2x + 1 Let f(x) Find lim f(x) %3D x - 1

A: Given functionf(x)=2x+1x-1

Q: x2+2x – 3 if x 22 The value of lim f(x) if f (x) =- 6-x X-2 if x<2

A:

Q: (b) lim y - 2 y→2 5 – V27 - y

A:

Q: f(7 + h) – f(7) Find lim if f(x) = - 8x – 7. h h→0 f(7 + h) – f(7) lim (Simplify your answer.) h h→0

A:

Q: x² + 8x - 9 x1 x³2x² - 5x + 6 t³7t² + 16t - 12 t4 - 4t³+ 4t² 4. lim 5. lim t-2

A:

Q: x+2 = +2| Does lim f(x) exist? Give reasons for your conclusion. Consider the function f (x) 2. x-2

A: We will calculate the limit

Q: (3a + 2h)16/5 - (3a)16. Evaluate lim h-0 h

A:

Q: ar X13 lim 2x²-3 2xーナ

A:

Q: (a) lim5x= x2 (b) lim5x(2x+3)= x→2 (c) lim(x* - 4x+1)=

A: As there are multiple sub parts, (a),(b) and (c) are solved here.

Q: 2x2-3x+2 Ex(2) Let f(x) , x + 2. Find Lim f (x) x-2 x-2 Solution

A: Topic:- limits

Q: Vz2+4-2 (d) lim 22

A: We can find the limit as below.

Q: the center-radius of the equationn 9x²-18 x+ 9+9y? + 12y=12 be obtained by adding both sides of the…

A:

Q: .Using &-8 definition show that x3 – 4 lim x→2 x2 + 1 - 4 4 - + in

A: