rmine the value of the following limits, if they exist. If infinite, specify either o or -o. (If an answer does not exist, enter DNE.) (16x2+5 7x-5 a. lim x- c0 V16x2+5 b. lim 7x-5 x- -00

Q: ate the following limits: a) lim(1 – 2x)/x b) lim -) X-0 X0*

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Determine the following limits. ? lim xS0 4x2 6x V16x* 16x* + + + x*

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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: Solve for the limits of the following functions. Show complete solution.

A:

Q: lim 4tr. rtl 25

A: Given: limr→-25-4+rr+1·10r2-25

Q: Find the following limit: x3 – 14x? + 42x – 20 - lim x → 10 x – 10 Answer:

A:

Q: What are the values of the following limits? 2e – 5 (a) lim 1-e 3 + 4er [ Select) 2e - 5 (b) lim…

A: The value of following limits

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: After direct substitution the limit lim (1+x²)secnx gives Select one: O 10 None 00

A: Given: limx→∞1+x2sechx

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

A:

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for - oo. (a) -12x lim 11 + 11 -…

A: Given: to evaluate the limitslimx→118+ -12x11-8x=?  and  limx→118- -12x11-8x=?

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 limit and justify each step by indicating the appropriate Limit Law(s). 2x2 + 1 lim V…

A: Given:            limx→22x2+13x-2 Rewrite as: limx→22x2+13x-2 Use the property:…

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for - oo. -35x (a) lim 3 4x 3+…

A:

Q: Use l’Hospital’s rule where applicable to find each limit.

A: Given: limx→5 x2+11-6x2-25

Q: 3x - 3-* 3) lim x00 3x + 3-x

A:

Q: Which limit is equal to -11 + 372? lim (- 11+ r2²) 11+ TX O lim (-11+ 3x) O lim (- 11 + Tx) エ→3 O…

A:

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

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Q: e) lim v-r² + 20x – 100 +10

A: The given limit is,  limx→10-x2+20x-100

Q: Q.4. Calculate the following limits, if exist. 5x4 - 4x3 -x lim 10x3 -6x4 - 2x 1) x2 -16 lim x-4 x2…

A:

Q: Determine the following limits. 9x + x? - 5 lim xSo 3x* + 4x

A: Given : limx→∞ 9x3+x2-53x4+4x2 When there is a limit at x approaches to infinity, we factor out the…

Q: - 3x +4 lim -2 x - 3x + 7x - 24x + 28 a. where a is some fixed real number x = a' b. lim 2x

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Q: 2x 9. x-1 lim x-3 6-2x

A: Given limx→32xx-1-9x6-2x

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: After direct substitution the limit lim (1+x²)secnx gives Select one: O 10 O None 00

A: limx→∞1+x2sechx

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

A:

Q: Find the following limits if they exist. Must show all work (analytically?): 1. X-2 lim (x) where…

A: Given that: 1. limx→-2f(x), where f(x)=-3x2+8, if x<22x,          if x>-2   NOTE: As per our…

Q: Use the new variable t = 64 +h to evaluate the limit. Enter the exact answer. V64+h-8 lim %D h

A: We can evaluate the given limit by substituting,  t=64+h  t2=64+hh=t2-64=(t-8)(t+8) Also, as h→0 we…

Q: Зx3 lim х +2 +3x+5

A: limx→∞3x3+3x+5x3+2

Q: Evaluate the following limits. If needed, enter oo for o and oo for – o. 11 + 8x2 (a) lim 4 + 5x 11+…

A:

Q: Find the following limit. Answer as a fraction or integer (no decimals.) x +4x- 12 lim x+2 4

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

Q: Find the following limits : 2x+3 2) lim x-o 3x-1

A:

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: Evaluate the following limits: (if they exist) 6e" – 6 – 6x – 3x? – a³ 3r2 – r* а) lim

A:

Q: Evaluate the following limits: 5x2 – 28x + 15 (a) lim 5 x2 – 7x + 10 Va + 62 – 8 (b) lim x - 2

A: limx→55x2-28x+15x2-7x+10 limx→2x+62-8x-2

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: 2x+ 22 – 4 lim 2-3 I+3 3.

A: Given: limx→ -32x+22-4x+3 Simplify the given expression.…

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for –∞. 13x -- (a) lim ェ→ T0 11…

A:

Q: Evaluate the following limits. If needed, enter oo for oo and -oo for 00. /3+5x2 (a) lim 3+11a V3 +…

A: LetL=limx→∞ 3+5x23+11xDivide x on N and DL=limx→∞ 3x2+53x+11L=limx→∞ 3x2+5limx→∞…

Q: What is the limit as x approaches positive and negative infinity?g(x) = (10x^5 + x^4 + 31)/x^6

A: We need to find the limit as x approaches positive and negative infinity for the function given…

Q: Determine the limits of the following items using the limit laws. Write your complete solutions on a…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Determine the value of the following limit, if it exists. If infinite, specify either o or -o. (If…

A:

Q: Evaluate the following limits. If needed, enter oo for o and -0o for –00. a) 17x lim 7+ 7- 4г (b)…

A: To evaluate:a) limx→74+17x7-4xb) limx→74-17x7-4x

Q: Please help

A:

Q: Find the following limit: x3 – 14x? + 42x – 20 lim x → 10 x – 10 Answer:

A: Given that

Q: Evaluate the following limits. 2x – (a) lim (2+ x) |3 – 6x| 1

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…