Use calculator graphs to make approximations for each of the limits in Exercises 67–74. 67. lim(3 – 4x - 5x²) 68. lim (–0.2r5 + 100x) X4 x00 3 — х 69. lim x→1 x – 1 x+1 70. lim x2 x - 2 x100 71. lim Inx 72. lim X00 X 1- cosx sinx 73. lim X0 X 74. lim

Q: (5х-4, E If f(x) = 0<x <1 show that lim f(x) exists. %3D 4x - 3x, 1<x<2

A:

Q: . Use the Squeeze Theorem to determine the value of limx sin

A: To evaluate the given limit limx→0x4sinπx by using the Squeeze theorem. Now, the Squeeze thorem…

Q: 23) lim (5x- 1) = 19 X4

A:

Q: QUESTION 2 Calculate the following limit: lim (x² – 3x – 10)(*-5) X-5+ QUESTION 3 6

A:

Q: et - e* lim,0 2 sin x

A: Consider the given function, limx→0ex-e-x2sinx put the value of limit into the function,…

Q: e -(1+x)" Evaluate: lim 140 tan x

A: To evaluate: limx→0 e−(1+x)1/xtan⁡x For evaluating the given limit we need to use the expansion of…

Q: cos x-2sinx 1. limx-n 3cosx -2 limx-3 X-3 3x6-x*+2x-3 limy--o 4x5+2x3-5 iv. lim,→-1(x³ limy--1(x³ –…

A: [i]

Q: 10. lim ) 1 -1) A-0 hV1+h sin x 13. lim 0 2x-xr V8+x -2 (Hі 16. lim

A: We have to use proper techniques here.

Q: Determine 1. limit = 2. limit = 3. limit 4. limit 5. limit lim x 0 3x - x² 6. limit = 3 1 3 3 1 (²)…

A: First I have simplified the expression and then taken the limit. Option (3) is correct.

Q: lim x3 -1 is x-1- x -1 А. — 3 B. no limit C. 3 D. undefined Е. О

A: topic - limits

Q: Suppose fx) -2x2-3x. To compute f'(x), which Limit should be evaluated?

A: