B: prove that lim cose = 1 02: A: Find 1. lim an(e)-sin (t) tcos(t) 2. lim tan(5x) x-0 3x B: prove that tan(0 + a) = tane+tana 1-tanetana

Q: acosx+bx sinx-5 (ii) Find the values of a and b so that lim exists and finite

A: Limit of a function determines the continuity of a function. Three types of limits exist, one is…

Q: Find lim (1 + sin5x) cot3x x-0+

A:

Q: lim X-3 Sinx X-0

A: Limit of a function

Q: Find: tanx-sinx d) lim x3 4.

A:

Q: tan 0 (2) Lim = 1 %3D

A: We first expand the series of tan x and then proceed as explained below:

Q: Q1\ Graph and find the domain and range of: a. F(x)=X+v4 – x2 b. X+Y2 =0

A: Note - according to our guidelines we can answer only  first question and rest can be reposted.I am…

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A:

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A: To find the solution of given equations

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A: Limit of the function

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A: “Since you have posted a question with multiple questions , we will solve first for you. To get…

Q: 3. Find lim x sin II

A: Given limx→∞xsin(πx)

Q: lim (1+ tan 3x)*

A:

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A:

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A: We have to evaluate: Calculation:

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A:

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A:

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A:

Q: Show that lim x|cos )= = 0.

A:

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A: Multiply the numerator and denominator by the conjugate of the numerator to simplify the expression.…

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A: Follow the procedure given below.

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A:

Q: lim t→0 of tan4t/sin2t

A:

Q: sin(6x) Evaluate: lim 1-oL sin( 4x) A B0 1

A: we have given that limx→0[sin(6x)/sin(4x)]

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.