8. lim d+A-1

Q: ax? Find lim X → - ∞ bx +c • where a>0 and b<0. |

A: Given, To find limx→-∞ax2bx+c where a&gt;0 and b&lt;0

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→27 x-27x13-3 We can write the above equation limit as limx→27 x133-33x13-3

Q: Lnx 8) lim X00

A:

Q: Evaluate using the identity a3 - b3 = (a-b)(a2+ab+b2)

A: Given limit limx→3 x3-27x2-9 We can write the above limit as limx→3 x3-27x2-9=limx→3 x3-33x2-32

Q: Evaluate 3x +x lim 2 – 8

A: Solving the problem by obtaining the value of the limit.

Q: Find the limits

A:

Q: Evaluate Lim 2* _3² X> 00 3.

A:

Q: 1 – 5z2 + 5 lim 1 + 5z3 Answer:

A: Given query is to find the value of the limit.

Q: lim 11. X-3 2 A B II

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A:

Q: Evaluate using substitution.

A: The Given limit is limx→-11-8x33/2

Q: х2 +х — 20 lim x-4 х — 4

A: The given function is x2+x-20x-4.

Q: Evaluate using substitution.

A: To evaluate the limit

Q: Evaluate lim a,2)→(2,3) 2y2 +3xy 5xy+a?

A: This question is related to limit of function of two variables, we will use direct substitution…

Q: VE-3 Evaluate: lim,9 /3

A: Given limit,

Q: 16x? – 5x - Evaluate : lim 6x2 + 16 O 2.667 O 0.312 -

A:

Q: lim7 21 = %3D

A: Given that : limx=7 21 = ?

Q: Evaluate using the identity: a3 − b3 = (a − b)(a2 + ab + b2)

A: the given limit is: limx→-2x3+8x2+6x+8 we have to evaluate the given limit using the identity:…

Q: 0.06 \2n lim,,→ 1000( 1+

A: Apply the constant multiple rule of the limit to simplify the given expression : limn→∞cf(x)    =…

Q: Divide numerator and denominator by the highest power of x in the denominator and proceed from…

A:

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given: limx→1x2-5x+4x3-1 for evaluating given limit, we factorize denominator and numerator

Q: Find the value of lim I+2 100 9+1

A:

Q: Considering the question... It is X exponent (2018x+1)

A: When limit n tends to infinity,we get 0/0 form i.e. indeterminate form . So, we use libnitz rule.

Q: x? – 4 Find Lim x-2 3x + 6

A:

Q: *+∞o Suppose an = 5. What is the value of lim a,,? n=0 n→0

A:

Q: 2.x4 – x² + 8x lim x→+∞ –5x4 + 7 Select the correct response: 1 O 2 2 5 |

A: Given- limx→+∞2x4-x2+8x-5x4+7 To Find- The value of the above expression.

Q: Im x?-x-le Lim メラー2 2. 2-2

A: Given limit is: limx→-2x2-x-4x2-2

Q: 10. lim is xーー8 A. 00 C.-1 D. 1 B.

A: Given, limx→-∞2-x2x

Q: lim (e²x + 2) 8118

A:

Q: 7. lim 9 -9

A: "Since, you have asked multiple question, we will solved the first question for you, If you want any…

Q: 3x?+4x-7 ii) lim x2+9 X00

A: Given query is to find the value of the limit.

Q: ェ?-lz-42 lim

A:

Q: x4+a4 lim хэа х-а (108 * 09)

A: The solution are as follows

Q: Evaluate: lim (5 – 2)3 - O a) 0 O b) +0 c) -00 d) 3 2]

A:

Q: Find lim X-7 X+4 X+1 X + 4 X + 1 lim X-7 (Simplify your answer.)

A: This question is easily solved by direct substitution

Q: 3 -4x°+6x Evaluate lim, B-a? 4 2 8.

A: Explanation of the answer is as follows

Q: Evaluate using the identity a3-b3 = (a-b)(a2+ab+b2)

A: Given

Q: Evaluate: a² – y? =??? lim (x, y)-(3, –3) x+ y

A:

Q: lim x2 + 3x – 4 X-4 О 26 О зо О 28 О 24

A:

Q: Read and answer the following items. Write your answers on a separate sheet of paper. 1. Evaluate…

A: To evaluate:limx→2(4+x) Solution: Calculating LHL: limx→2-(4+x)=(4+2)=6 ⇒limx→2-(4+x)=6(Left hand…

Q: 4. lim e-3x+4 %3D

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: x? —5х +6 lim x→2 х- 2

A:

Q: х?—3х-10 Evaluate lim,s 7x-3-2

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: lim_ x² -x-6 (x+5Xx+2) 1--2 A 3 B 3 C 5

A:

Q: fa) lim 3x_ 8700 1-4x2 2~x (b) lim x? =

A:

Q: Evaluate: lim, __.—3 (√22² — 10) (2²+x-6)

A:

Q: (2x20 – 130)3 What is lim (x5 + 57)12 x00 A. 6 В. 7 С. 8 D. 9 Е. 10

A:

Q: Q1) Answer the following: x-5 1. Find: limx-5-25

A: Since this is of form 00 we can easily use L'hopital Rule to solve this limit  In 00 form we just…

Q: 19x? 8x - Evaluate : lim 4x2 + 18

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.