2-9 (b) lim -3 2t2 + 7t +3

Q: im ³√2x²-10 x-->3

A: Given : limx-->32x23-10 To find out limit we plug in 3 for x directly inside the cube root

Q: lim    (5e2x-3e-4x)/(6e2x+2e-4x) x → −∞

A:

Q: х2-2х-3 6. lim х-з х2-4х+3

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: 7. 2x3 + 12z2- 18x lim 13 – I - 12 8. 1² – 31 - 10 lim 1-5 r2 + 2x - 35

A:

Q: lim (6x - 6x - 8) X-2

A:

Q: 4x2 -5х + 1 lim х-2 2х - 1 2.

A:

Q: Find:

A: Let f(x) = limx→3 4x2

Q: x2 -x-2 lim 2 x²- 2x エ2

A: Since there are multiple questions present, according to company policy we will be answering only…

Q: x² -4x-21 iii. lim x² -9 ? -9

A: As per our guidelines, we are allowed to answer only one question at a time. So, please re post the…

Q: х3+9х2+20х 4. lim х-3+ х2+x-12

A:

Q: 5x3 — 6x2 + 7 1. lim 8x2 — 15х3 х — 1 2. lim х--о х3 — х2 + 2х + 4

A: The objective of the question is evaluate the limit of the given functions.

Q: х —2 Га) lim x4-X-4 x- 3 (b) lim х+2 (х — 2)2

A:

Q: 23. lim 3x-2 2+ 3

A:

Q: lim V5x2 + 7x – 2. 3 x3

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

Q: 5x-3 – 4 (i) Lim- x-00 2x-2 + 9 (х - 3)2 (ii) Lim X-00 X4 2 7 2x – 3

A:

Q: (а) 5x-3 – 4 (i) Lim- x-00 2x-2 + 9 | (х — 3)2 (ii) Lim X00 x2 T- 2x – 3

A: Note: According to Bartleby guidelines; For more than one question asked; only the first one is to…

Q: х2—х-2 b. lim х -3 х3-2х2-3х

A: Let’s evaluate the limit  limx→3 x2-x-2x3-2x2-3xlet’s find LHL and RHL if LHL=RHL then the limit…

Q: a3 – 1 + 3.r lim -00 VA.r – 2x

A: We will take common the highest power of the x, and then terms will cancel out which will make easy…

Q: 2 -2 lim 12 - 1

A:

Q: lim (V4x4 +9x – 2x2)

A: Given:

Q: %3D lim 3t -3

A: Given,           limt→-33t3

Q: (3- х)2 b) lim x-6- x+ 6

A: Calculate limit of part b

Q: x-2 6. lim x-2-2-V4x-x²

A: To find:  limx→2- x-22-4x-x2

Q: limy- 3 3+ 3x – 18x 2 x-9

A:

Q: х3 — 7х — 6 - | lim x→3 2x3 – 11x² + 12x + 9 . -

A:

Q: lim メ-9 X -3

A:

Q: lim ス-1 x3 メ42x -3 メ+3

A: Let the function fx = 2-x+3x2+2x-3            we need to find out limx→1 fx = limx→1 2-x+3x2+2x-3 If…

Q: 4x2+11х-3 (i) lim x→-3 9—х2 (ii) lim 2 -1 *-4 х36 6-х Vx2+9-V2x2+9 (iii) lim х-0 VЗx2+4-V2х2+4

A: We will solve the following

Q: 3-х lim х-1 х2-3х II

A:

Q: 3- 5V+811 lim -00 2/2+2-162 t3-5v

A: After initial observation, I can see there is difference of variable in the limit 'x' and variable…

Q: (a) -4 5x - (i) Lim 2x+9 N (x - 3) (il) Lim - 2x - 3

A: We will answer the first two questions. Please resubmit the other questions separately.

Q: х lim х+-1x3 +4х

A: Substitute x=-1

Q: Find the limit

A:

Q: Vミ-2 lim ミー→4 -4

A: Let, L=limz→ 4z-2z-4Rationalize Numerator L=limz→ 4z-2z-4z+2z+2 L=limz→ 4z-4(z-4)(z+2)L=limz→…

Q: Vz - 3 lim z-3 z2- 9

A: We know,  limx→af(x)=f(a) a2-b2=(a-b)*(a+b)

Q: 5x-3 – 4 Lim- X- 2x-2 + 9 (х — 3)? • Lim 7- 2x – 3

A:

Q: Vr2 + 8 – 3 lim I +1 2--1

A: We have to find limit

Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

A:

Q: (а) 5x-3 – 4 (i) Lim- x-00 2x-2 +9 (х— 3)2 (ii) Lim X-00 X T- 2x – 3

A:

Q: lim Væ+2-/2

A:

Q: lim メ→-4 Vx+4 - 2

A:

Q: 2-4х3 3. lim х--0- 5x2+3x3

A:

Q: 5x-3 – 4 (i) Lim: X-00 2x-2 + 9 (x – 3)2 (ii) Lim - 2x- 3 2

A: (i)

Q: z2+3 lim iz Z-2 7

A:

Q: 2x2 - 1 lim x- - 10x4 +3x2 - 2

A: Divide on both numerator and denominator by x^4 and use limit sep

Q: Lim                   2x3 -x-3x4 +5/-5x3 +2x-1                             X →∞

A: we need take highest common degree from numerator and denominator

Q: 3) lim (x- 3x + 4) 4) lim -V2x-2 A) -5 C) 0 B) 2 D) 7 A) V12 C) 2 B) -7 D) -6

A: 3.

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.