24 lim b7b+1 lim t 5 Calculate the following limits by direct substitution. (b-4)² (1 – t) (t + 5) 3t - 7 lim (6y) (y² + 1)³ -1 lim √3(x² + 12) = z 0 lin t> 6 ² + 3t - = lim y³ (5-3y²) 2 2 = = = 3

Q: 2(x-1)* - y² Lex-1)* +2y (d) Show lim does not exist.

A: Limit exist

Q: 42t lim t+0 4 - 1 - 1

A:

Q: E valuate Dle followneg: lim メーフ+ 7x" – 4x? + 7x - 2 J +- 3 メ 3x° -8x"+ フメー458 -x一5 x3

A:

Q: Find the limits

A:

Q: Vx+3x² limx¬0 X→∞ 4х-1

A:

Q: lim, 6 8(x – 5)(x – 7) Answer: -8 4x2-9 lim3/2 2x+3 Answer: 0

A: The value of the given limits are –8 and 0 respectively.

Q: Q.2.(a) Evaluate: t2+t-2 lime1 t2-1

A: Given: limt→1t2+t-2t2-1

Q: 2 lim y² - 7y + 12 3 y → 4 y - 64 1 48.

A:

Q: Please show step-by-step solution

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A: We have to evaluate the following limit: Limit as x tends to -infinity (2x + 1)/[sqrt {7x^2 - x +…

Q: lim (412 + 8t – 5)3/2 t- 2.

A:

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

A:

Q: 2+49 –7 5. lim x→0 x2

A:

Q: t2+3t+2 2. lim t--1 t2-t-2

A: To find the limit of the given function

Q: t -9 9. lim- -3 2t +7t+3 1 1 11. lim x-3

A: 9) limt→-3t2-92t2+7t+3=limt→-3(t-3)(t+3)(2t+1)(t+3)=limt→-3t-32t+1=-3-32(-3)+1=-6-5=65

Q: e- lim x-3 x2-9 V3x-3 ,x + 3

A:

Q: If limz - - 19+561 (z² + 38z) = x + iy, what is the value of x - y ?

A:

Q: 200 (-1) = 1, lim (x – 2) = + Use the results that = 1, lim (x – 2) = +∞ lim I+3 T-1 エ→8 エ→0 to find…

A: Given that limx→∞(x+3x-1)=1and limx→∞(x-2)=+∞Required to…

Q: Which of the following statements is true? 7x2 7 A lim 3 (ку) - (0,0) Зx2 — 5ху+ 2у Зx+у-4 lim 8…

A:

Q: poge( a). liun +3x=12X+4 x4X

A: The value of the limit is, (3/2) The detailed solution is as follows below:

Q: Q 7 Find lim y+21y2 +71y + 51 y2-9

A: Consider the given limits

Q: 4х+2 1. lim 9x² -3 2

A:

Q: - lim V12 - 31-3

A: When limit is of the form 00 or ∞∞, then L-Hospital rule is used. In this rule, we take the…

Q: 6xh + 3h2- 5h lim h-0

A: On directly substituting the limit, the indeterminate form 00 will be obtained. So, in such a way…

Q: V2 x4-625 Find lim→5 5 х-5 O 1200/2 O None O 100/2 O 86/3

A:

Q: x2 + 6х + 5 lim х— -1 х — Зх -4

A: Given,          limx→-1x2+6x+5x2-3x-4

Q: 1– x2 lim r--00 3 + 2x – x3

A:

Q: B: Find y + 4 lim (x1)-(24) x²y-xy + 4x² - 4x

A:

Q: x2 + 8x + 15 if x 2. lim f(x). x→2+ Find 15 20 30 35

A:

Q: sec 2x Q3. Find the lim,0 3x csc2x

A:

Q: 20x2 – 3x Calculate lim x→0 ° 3x5 – 4x2 +5

A: It is given that, limx→∞20x2-3x3x5-4x2+5.