A company training program determines that, on average, a new employee can produce  N( t) pieces of work per day after  t days of on-the-job training, where  N(t)=(87+42t)/t+6. Find  lim s-9 N( t).

Q: Show that lim(5x+2)=-18 x-> -4

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Q: Evaluate lim(1 – 2x)ž. x-0

A: To find the limit It is in the form 1infinity , so use the below steps. When (0/0) form comes , we…

Q: b. Find lim (xv (xVx²+1-x²)

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Q: Find lim,00(e3 +2x)/* 1/x

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Q: If is a polynomial, show that  lim x->ap(x)= p(a).

A: Let us consider the nth degree polynomial  px=anxn+an-1xn-1+-----+a1x+a0where a0, a1, ......, an∈R…

Q: (x3 - 3x2 +6- 2x) 10. Use a table to estimate lim X-+3 X- 3

A: Given limx→3 x3-3x2+6-2xx-3-1

Q: x2 + 8x + 15 if x 2. Find lim f(x). x-2+

A:

Q: x→0 cot3

A: we are given  limx->06x cot3x which is = limx→06x( cos3xsin3x) if we apply limit we will get…

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

A: We want to find given integral.

Q: Find the following: x+/3 + 9x+/5 i. Lim- x-0 6x1/2 – 4x1/4

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: b) Find equation of line passing the point ( 4, -1) and normal to 3y+ x=1. ||

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Q: Find lim 2-0 -x-1 x²

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Q: [a] find limg00 a+[b] *

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Q: d) (x+27) -3 X lim-

A:

Q: (XthP+| lim 4.

A:

Q: 10 a. lim 3-2 2x+1 b. lim Z x-3

A: Given 1.      lim x→3 10x-22.       lim x→2 2x-1x-3 To find - the value of the given limits

Q: b. Find lim (xvx²+1-x²)

A: Here, we take common x.then multiply denominator and numerator by √(x^2+1)+x

Q: Find lim (V + 1 - Vĩ).

A: To find the limit

Q: Find lim h-0 f(5+h)-f(5) h if f(x) = -2x-1.

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Q: Evaluate lim (e – 2x) -

A:

Q: lim x>-3- x² +2xr-3 a. X- 7X b. lim x>-3+ x2 +2x-3 lim x>-3 x² +2x-3 C. X- ,X

A:

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

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.