Evaluate the following limits. If needed, enter oo for o and oo for – o. | V9 + 3x? (a) lim x → 00 3 + 3x V9 + 3x² (Б) lim x → - 00 3 + 3x

Q: Evaluate the following limits. If needed, enter oo for oo and oo for V7 + 8x2 (a) lim I 00 11+2x…

A: To evaluate:a) limx→∞ 7+8x211+2xb) limx→-∞ 7+8x211+2x

Q: . Evaluate the following limits and interpret your result in terms of V.A. or H.A. 3-7x a). lim Xo…

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Q: Use l'Hôpital's Rule to evaluate the limit. .3 8x +7 2, lim X- 1 X1 O A. 11 O B. 19 C. O C. - 16 D.…

A:

Q: Evaluate the following limits. If needed, enter INF for o and MINF for –∞. (a) lim (Væ? – 9x +1- x…

A: (a)givenlimx→∞(x2-9x+1-x)rationalize=limx→∞(x2-9x+1-x).(x2-9x+1+x)(x2-9x+1+x)=limx→∞x2-9x+1-x2x2-9x+…

Q: Calculate the following limits, if exist. 5x 4x3 lim x00 4x1– 6x- .2 -2.x x² - 4 lim X2 2r2 -1 1x +…

A: apply the limit after solving

Q: Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -0o. (a) 4+ 2x2 lim 2+ 9x…

A: We have to evaluate the limits (a)  limx→∞4+2x22+9x (b)  limx→-∞4+2x22+9x

Q: Evaluate the following limits. If needed, enter INF for oo and MINF for -o!. lim 4x +1 (b) lim I 00…

A:

Q: Evaluate the following limits. If needed, enter oo for ∞ and oo for −∞. (a) limx→∞ √6+7x^2/2+2x…

A: topic - limits

Q: Evaluate the following limits, where c and k are constants.

A:

Q: Consider the following limit. x – 6 lim 146 r2 – 36

A: Complete the table using x values

Q: 5x2 – 2x + 7 2. lim 9 – 2x – 7x2

A: we will evaluate the limit.

Q: What is the limit of f(x) = 8 as x approaches n? (If an answer does not exist, enter DNE.

A:

Q: Evaluate the following limits. If needed, enter oo for o and -00 for – x. 6æ + 1 – a) (a) lim бх + 1…

A:

Q: Evaluate the following limits. a. lim 2x 3x² b. lim x→0+ e-3/x ,2 X² ||

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Q: Find the following limits. 1. lim E-V3 z+3 Z-3

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

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for – o. За3 8x? 5x | (а) lim 8 8x…

A: Solving

Q: Compute the following limits and write your answer to the boxes. lim 9x cot 8x 6x? lim x2 18x 60 - |…

A: Solve by limit

Q: Evaluate the following limits. If needed, enter 'INF' for ool and '-INF for -o0. (a) V7 + 9x² lim I…

A:

Q: Evaluate the following limits. Enter INF for oo and -INF for -o. 4Va + 11x-2 (a) lim Σ 3x – 13 -

A: As per bartleby guidelines we only give first question answers.

Q: 2.x2 (а) lim,g->2 5x + 2 Зх — 6 а* (За — 1) (b) lim→∞ 50 + 4г — 2л3

A: A) limx-2 (2x2-5x+2)/(3x-6). B)limx-infinity(x2 (3x-1))/(50+4x-2x3)

Q: Evaluate the following limits, where c and k are constants.

A: To evaluate: limx→2(1x-2-2x2-2x) Solution: Given ,limx→2(1x-2-2x2-2x) On simplifying further we get:…

Q: Find the form of the following limit and evaluate it. Vx +3 – V5 lim X+2- X - 2

A:

Q: 12) Evaluate the following limits, if they exist: -e-x+1 ) lim 5x b) lim- V8x* - 6 -* 7x -3

A: Given This limit is an indeterminant form as

Q: Evaluate the following limits. If needed, enter INF for ∞ and MINF for –∞. (a) -7t – 9 lim /t² + 4t…

A: Given limits: limt→∞-7t-9t2+4t+5 limt→-∞-7t-9t2+4t+5 The objective is to evaluate the limits.

Q: 7-Vx2+49 lim X→0

A:

Q: 2x2 + 9x + 7 lim 1→2 r2 + 5x +6

A: Consider the limit: L=limx→22x2+9x+7x2+5x+6

Q: Evaluate the following limits. If needed, enter 'INF' for o and '-INF for -o. (a) V6+9x? lim x-00…

A: Solve the following

Q: V3x2+4 d. lim X-00 x2-7x+12

A:

Q: Evaluate the following limits. If needed, enter INF for o and MINF for - (а) lim (væ² x² – 7x +1 –…

A: (a)

Q: lim 2x* - 8x + 16 x--2

A: Given limx→-22x4-8x+16 =2(-2)4-8(-2)+16=2(16)+16+16=32+32=64

Q: Зx3 lim х +2 +3x+5

A: limx→∞3x3+3x+5x3+2

Q: Evaluate the following limits and verify your answer. 7(x² - ³) lim (1.9)>(0.0) /x² – y² +1-1

A:

Q: Evaluate the following limits. If needed, enter oo for o and -oo for -o. 15x (a) lim - 2x 3 + 15x…

A: Use left hand and right hand limit concept

Q: Determine the following limits. x? + lim 1x? - Vx* + 3x²2 (Hint: Multiply by 4 x* + 3x? x* + x* +…

A: Evaluate: limx→∞x2-x4+3x2

Q: 1. Evaluate the following limits: a.) lim,-3 V13- x2 b.) lim . 4 t2 → 2 12.-5t+6

A: The solution is given below:

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

A: a limx→∞ 16x2+5/7x-5 divide above and below by x limx→∞ 16 + 5/x2/(7 -5/x) now apply the limits 16…

Q: Determine the value of the following limits, if they exist. If infinite, specify either o or -o. (If…

A:

Q: Evaluate the following limits 2x2y (a) lim (x,y) (1,2) x2+y²+1

A: The question for (b) seems incomplete as there is nothing to evaluate the limit. For (a),    limx,…

Q: Determine the following limits at infinity. 4x² + 2x + 3 lim x²

A: Consider the provided expression, limx→∞4x2+2x+3x2 Determine the limit of the expression. First, we…

Q: Evaluate the following limits algebraically. Show all necessary calculations. x? – 16 a) lim x→4 x²…

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Q: V1+x – 1 – b) lim x2

A: Substitute limit in the expression and simplify.…

Q: x² – 4x – 5 lim z-5 x2 – 25 lim (3x² – ) x-2 5x + 2

A:

Q: Q2: Find the following limits V-V lim x418√√x+√ 友

A:

Q: Evaluate the following limits. If needed, enter oo for o and -oo for -oo. (a) lim (-12z? + 28z) (b)…

A:

Q: What is the limit of f(x) = 5 as x approaches a? (If an answer does not exist, enter DNE.) dne Need…

A: Solve simply

Q: Q3: Evaluate the following limits 1- lim(x2 + 5x) x-2 (x+1) 2- lim x--1 (x²+6x+5)

A: To evaluate the given limits

Q: Find the following limit from two sides if available : x3 – 7x +7 2) lim x-2 x2-3x + 2

A: SOLUTION-

Q: Q4)A) Find the following limits (for two only). x+1 1. lim X-1x2-x-2 1-Vx 2. lim X-1 1-x 3. lim x0…

A: Find the limit for the given function . We use for calculate value of limit L' hospital rule (When…

Q: Evaluate the following limits. If needed, enter 'INF' for oo and '-INF for 0. (a) 4+ 6x2 lim 2 + 9x…

A: topic - limits