bx²+18x+2b What is the value of b so that lim exists? x2+x-2 x-1

Q: x² + 6x - 7 lim x² - 1

A: Given:  limx→1x2+6x-7x2-1 To find: The limit.

Q: V2+x² 4. lim

A: Given: L=limx→∞2+x2xπ For evaluating given limit, we simplify given expression and evaluate limit

Q: Vx² + 8 – lim x-1 =? x+1

A: We have to find limit

Q: lim, x2+5x-14 x+2

A:

Q: Vx2+4-2 lim x2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find the limit.

A: Our Aim is to find the limit of the expression given below:-limx→3 x2-3x+4 -(i)

Q: lim Vx -2 X-04 X-4

A: we use in this question rationalization.

Q: 4-4e* lim xex Find: х-0 хех

A:

Q: lim Vx2 + 2x – 3 x→-3-

A:

Q: lim. Vx-1 х2-4) п-20+ \x2-4

A: To find the Value of

Q: x- 2 Find Lim x-2 3x2 -12' A. B. 12 1 C. 12 D. 00

A:

Q: r2 - 5x - 6 What is the lim I→ -1 x2 + 4x + 3

A: the limit is =-7/2

Q: x² – 9 (b) lim x→3- x + 3

A:

Q: 3x3 + x2 Find lim X+3 X+6

A: put x=3+h so that h=0.

Q: Q2: Find: 3-8 b)lim 8-2x a) lim x-2 5-Vx2+9 x-2 x-16

A: There are some forms in mathematics which cannot be determined. These values are still not known;…

Q: 2x-x +5x-1ulav ad li eno lim- a) 5x-2x+8 x²- 2x+1 b) lim エートーの x' -3 de or owa oleM of x*-2x+97 lim…

A:

Q: Vx²+3 3. lim

A: Here limit is present in infinite by Infinite indeterminant form.

Q: lim V5x2 + 7x – 2. 3 x3

A: Known fact: If f is a continuous function then limx→afgx=flimx→agx.

Q: Vx² +4 - 2 Find lim x->0

A: Consider the given limit limx→0x2+4-2x So, limx→0x2+4-2x=00   Apply L'Hospital's rule:…

Q: Q 3/ A- Find lim,3 x²-3'

A:

Q: 4x² + 12x Find lim x→-3 x2 + 4x + 3 hoose 1 answer:

A: Given function is ,  limx→-3 4x2+12xx2+4x+3 Substitute x=-3 in the given function,…

Q: lim 4x²+x -27 Find the limmit.

A:

Q: Vx + 9- 3 What is a if lim ? a А. 3 В. 4 С. 5 D. 6 Е. 7

A:

Q: 5x - 1 b) lim Z-+0+ 10z

A: We have to find

Q: 2-8x+16) Q5/B: Evaluate lim x-4 \ x2-5x+4

A:

Q: Vx+4- lim Your answer O This is a required question lim Vx2 + 14x + 49 Your answer O This is a…

A: 1. limx→0x+4-2x2. limx→4x2+14x+49

Q: lim x -2 2 - 5x + 6 С.

A: Given- limx→-2x2-5x+6 To find- The value of the limit.

Q: a) (-²) lim x-0 3r b) = (₂) (72)" lim

A:

Q: 9x2-3 6

A:

Q: The value of lim (x³+2x4- 7x3- 5x²+ 11x – 15) X--2 (A) - 1 B) 1 2 (D -5

A: We need to evaluate limx→-2 x5+2x4-7x3-5x2+11x-15

Q: 3x+2 Evaluate lim X3 V 5x-3 5х-3

A: Given,            limx→33x3+25x-3

Q: 2х -1 The value of lim, is 2x2 +1 1 x→-- 2 a) 3 2 b) - 4 | d) 3. 4 3. 3.

A:

Q: e2x -1 (2) Lim

A:

Q: x² +4x-5 x² - 1 Evaluate lim and write the answer in the given box. x-1

A:

Q: 3(r-4) Vx+5 x-4 3-Vx+5 To evaluate: The value of lim

A:

Q: Vx² + 3 lim

A: The given limit is limx→∞x2+3x.

Q: 6x²+5 Determine the value of lim,→0 x²+3x+7

A:

Q: 2+3x-5x² Q.5 Evaluate the lim 1+8x

A: To evaluate: The limit limx→∞2+3x-5x21+8x23. Calculation: The limit of limx→∞2+3x-5x21+8x23 can be…

Q: 3x-6 Find Lim x2 x2 -4 4 В. A. 00 С. B. D. 3/4

A: The given question is related with limit. We need to find limx→23x-6x2-4 . Given four options:…

Q: 2x2 - 7x + 3 If f (x) = then lim f(x) will be X-3 %3D 5x2 - 12x – 9

A:

Q: 2x2 + 100x Find lim 1 - x3 x→-00 Select one: O +∞ O 2 O -2

A:

Q: V4x2-1 Find (a) lim ズ→+ ー1

A:

Q: 2g(z) is If lim, 2 f(r) = 2 and lim, 2 9(x) = 3, then the value of lim, 2 e

A: This problem is related to limit case and given that lim of f(x) and g(x) value and find lim…

Q: V5 +x - V5 Find lim

A: To rationalize the numerator of the given expression, multiply and divide it by 5+x+5, and simplify.…

Q: 3x2 (b) lim x0x+1-ex

A: limx→03x2x+1-ex=-6

Q: x²-9 lim is equal to: х->3 х-3 а) 2 b) 3 с) 6

A: It's very easy!!! see in next step

Q: If lim 2 f(x) = 2 and lim-2 9(x) = 3, %3D then the value of limp-2 3f(x) g(x) is а. 3 b. 2 c. None…

A: Explanation: Given that,  limx→2f(x)=2limx→2g(x)=3   Let us assume: f(x)=xg(x)=x+1

Q: x+4-3 lim ズ→4 x2-16 =?

A: Since the function approaches ∞ from the left and −∞  from the right, the limit does not exist. Does…

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.