Which of the following is true? А. lim Ax) =- and lim fx)=-0 x→ 3- x → 3* В. lim f(x) = -00 and lim f(x)= ∞ x→ 3- x → 3* С. lim f(x)= ∞ and lim Ax)= -∞ x → 3 x → 3* D. lim Ax)= 0 and lim f(x)= 0 x → 3 x→ 3*

Q: x tan 2x-2x tan x lim- x→0 (1cos 2x)

A:

Q: 2. lim (x - Inx)* x)² 2-0+

A: Here, the given limit is: limx→0+(x-ln x)x which is (-∞)0 form.

Q: (x² – x – 2)(2x +3). Vx² +5-V3x +3 6. lim =... .2 x2

A:

Q: iv. f(0) = Preview v. lim f(x) = x→7 Preview vi. lim f(x) x→7+ Preview

A:

Q: If h(x) →5 as x→ 1 and k(x) → 0+ as h(x) k(x) X→ 1 ? x → 1, then what is lim L

A: solution:-Givenh(x)→5  as x→1k(x)→0+   as x→1

Q: 3) If the lim f(x) = 2 and lim f(x) = -1 %3D x-3- x-3+ Then what is the lim f (x) = x→3 %3D a) Why?

A: To find the limit of the f(x) at x=3

Q: valuate 10-Vx a. lim x→100 x-100 b. lim (-2x+4)²–4 1 c. lim *+2 5 x→3 x-3 X-3 3-x

A: Given that:

Q: e graph of y = f(x) is shown. Assume f'(x) is continuous. 8 7 6 5- 4 3 2 -7 -6 -5 -3 -2 -1 nd xf(x)…

A: Given query is to find indicated limit.

Q: x+5, x<1 f(x)= - x+7, x21 19) a. lim f(x) b. lim f(x) c. lim f(x) x1* (2 15

A:

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.