Find the limit. lim (e-6ti + t-0 t² sin²(t) -j + sin(6t) k)

Q: 3x2 + 1?y? + 3y? + 3z2 3 Show that lim (1,y,2)+(0,0,0) 1² + y? + z²

A: The given rational function is 3x2+x2y2+3y2+3z2x2+y2+z2. Evaluate the limit along the line y=0,z=0.…

Q: Find the limit. Vn2 lim + 8h + 19 - 19 h→0*

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Q: Find the constant a such that Va ax +4-2 lim

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Q: 1-3x limx-0 V5x2+2 Select one: О а. 5 -3 O b. 5 C. O d. 5 O e. none

A: Divide both numerator and denominator by x and use the limit

Q: b. Find lim (xv (xVx²+1-x²)

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Q: 6х2+1 2. Find lim X→0 V4x4+3x+1

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Q: lim Va-1 х-1 х+1 х-1

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Q: 5t2+t sin t 5. Find lim t→∞ t2

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Q: Find Lim-0.0 (r² + y²) In(x² +y²) '(xy)(0,0)

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Q: Evaluate lim (tan-(t),e-2t,m²). t-1

A: We want to find given integral.

Q: 4 is x→00 2x2-3 lim A. undefined В. 4 С. 2 D. 0 E. 1

A: To compute the following limit

Q: Find the limits sin (x? – 4) lim x - 2

A: Given the limit: limx→2 sinx2-4x-2

Q: 2x -5x +2 3. Calculate the limit lim .2 x-2x X→2 X -3x +4

A: Limit of the function f(x) as x approaches  to a means as x approaches to a from left side and right…

Q: De nty. lim Bx+5 6+X6-

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Q: Find Vx² + 8 – 3 lim x--1 x +1

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Q: sint Lim t-0

A: We can evaluate limit of an expression by applying the limit point as a value for the variable in…

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: -2x +x lim x->0 2x+x“ – 2x .3

A: We have to evaluate the limit                                            limx→0x3-2x2+x2x3+x2-2x

Q: Vx+2-Vx 4. lim,-0

A: Given- limx→0x+2-xx To find- The value of the limit. Concept Used- we have to check the existence of…

Q: Part. b. True or False: lim x →∞ 2x 3e +5e 2x e -e -X = 3.

A: We will use concept of limit.

Q: Find the one-sided limit. lim (2x + 7) X→-4+

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Q: 5. Find lim [2(a+ h)? – 6(a + h) + 5 – (2a – 6a + 5)]/h h>0

A: Given that, limh→02a+h2-6a+h+5-2a2-6a+5h