(a) Calculate each of the following limits: 3x²+2x-1 x→∞ 4x²2 + 3x – 1 3x³ + 2x - 1 4x² + 3x - 1 1. lim 2. lim x+∞ 3x² + 2x x→∞ 4x³ + 3x 3. lim *4. lim X→∞ 1 1 √3x² + 2x - 1 4x - 1

Q: Calculate the following limits. t2 - 2t - 3 lim t43 (t-3)3 a) |x-5| b) lim x+5- x2-4x -5

A:

Q: Evaluate the following limits when they exists: x+x3x²+1 (a) (5 points) lim→>-1 x+1

A: To evaluate the limit limx→−1​x+1x4+x3−x2+1​, we first check if direct substitution leads to an…

Q: 3x3 - 4x lim 5x³ – 2 ,3 X→-0

A: Given limit is as below:

Q: If interest in a bank account is compounded continuously, the amount grows at a rate that is…

A: Solution: Given data, Initial amount P = $1000 rate r= 5% = 0.05 According to continuously…

Q: Calculate 14. lim (√x² + 1 - x). X18

A: Using series expansion about x =inf

Q: 0- V5 – x – V5+: -

A:

Q: Evaluate each of the following limits: (a) lim (2+³) (b) lim (2t-³) t→∞ ∞047 (c) lim (2+³) t→0+

A:

Q: 4. Find the following limits: (a) (b) 2 lim-3 x-3 - 2 4 3-x 12x - 4x² lim x3+x² - 6x +9 1

A:

Q: Determine the limit value of each of the following functions 11. lim 5(3x + 2) x →-1 12. lim * x→ 4…

A: Tp evaluate the given limits.