What does the following expression represent? Give your answer in appropriate notation, not words. e-2+h-e-2 lim h→0 h

Q: х?-2х-15 lim х>5 х2-6х+5

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Q: evaluate using the identity a^3 − b^3 = (a − b)(a^2 + ab + b^2)

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Q: 13 - lim [x²] =? x→7+ O A) 49 B) there is no С) 50 D) none E) 48

A: The given function is x2 We have to find the limit of this function as x tends to 7+

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: 2. O lim (-3+h)²-9 ニ

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Q: + )* - lim (1- A A 2* B e с 1 D e

A: To evaluate the limit

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: ty?. Evaluate lim 2,3 (1, y, z)(1, 1, –1)

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Q: 1 (a²- a→1 (a²-4a+3)3 (а?+4а-5)2 4. Evaluate: lim

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Q: 1 | h + 4 lim 4 С. h→0 h

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

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Q: t? – 16 lim t+4 t-4

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Q: |2а — 10 lim0+ = 2 -x, x-5 O True O False ||

A: Statement is false can be prove using the property of greatest integer bracket and modulus of…

Q: (5 + h)3 – 125 . lim h→0 h

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Q: [In (a* + 3) – In (2r* –- 1)] In (2r³ – 1) 7. lim

A: Definition used -             Limit of a rational function -             If limit x tends…

Q: 2+49 –7 5. lim x→0 x2

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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: What does the following expression represent? Give your answer in appropriate notation, not words.…

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

Q: y2. lim y²-4 y-4 y-2 ソー2 lim (x2 + 3x)

A: Limits Definition Let us consider a real-valued function “f” and the real number “a”, the limit is…

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: 20. Consider that E1 a, = 4 then lim, an = 4 O False

A: here we have

Q: 26) lim √√x-3 x-9 x-9 A) -10 B) 1 6 C) -2 D) 5 16

A: we have to find limit.

Q: Im x?-x-le Lim メラー2 2. 2-2

A: Given limit is: limx→-2x2-x-4x2-2

Q: 32. lim r-2-2 + 3 A 1 B -1 D -4

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Q: Find Lim 3e* + 7. A. 00 В. 10 С. 7 D. 0

A: Given; limx→03ex+7

Q: (x + h)³ – z³ lim h0 x^2 h (Your answer will be a mathematical expression in x.)

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Q: (b) lim h 30 у49 + h - 7

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Q: (2 + h)-1 – 2-1 lim h0 h

A: Simplify 2+h-1-2-1h by taking LCM in nominator,then apply limits.

Q: Evaluate lim (æ)/(2-2) e/2 O 1

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

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Q: 14. Find limx-o(1+ 2x)5/x. a. -10 b. 10 с. е-10 d. e10 e. None of the above

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Q: lim 2n Select one: а. О b. 1 c. 2 d. 0.5

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Q: Evaluate; lim x+ - 3- [[x]]+1 |x| A 2/3 ® -2/3 c) 1 D) -1 E) none of the given choices

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Q: ex -e* lim 4 x-2 x-2

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Q: x+ 2 Find Lim x-2+ 3x2 – 12 А. В. 12 1 C. D. 00 12 O10

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Q: Evaluate lim, (3 + t +). 10 10" A. 10 B.- 10 C. 10" D. 10 3 E. None of the above.

A: We use the geometric series to answer the given question.

Q: lim n² 20

A: We have to use Lopital Rule.

Q: II. Evaluate the ff liim 1 lim (3x? – 5x + 2) X2 x? -1 2. lim X x-1 х? + 2х -1 3. lim х- 2

A: Topic = Limits As per guidelines , at a time only three sub-parts can be answered. please repost for…

Q: Evaluate; lim x+ - 3- [[x]] +1 |X| A 2/3 B 1 © -2/3 D none of the given choices E -1

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Q: 2(a +h)2 – 2a2 2(a + h)? lim

A: Expand the square in the numerator and simplify

Q: (h + 4)² – 16 - lim h-0 h + 8 None of them O + 10 + 4 + 6

A: The limit of a function at a point a in its domain (if it exists) is the value that the function…

Q: (x + h)³ – x3 lim h→0 h Hint: answer is an expression involving variable x

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Q: x² – 16 lim x – 4 1 O 16 8.

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Q: lim X-0 = ? A) o0 B) 2 C) 0 D) 1/2 E) 1

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Q: Evaluate; lim x+ -3- [[x]]+1 |x| A -1 B none of the given choices C 1 D -2/3 E 2/3

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Q: (2+ )". 1/3 = 2!/3 53. lim n00

A: Given that limn→∞ 2+4n213=213. Prove this limit as follows.

Q: dr= 1+n?x? lim

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