sin a COS T Solve by hospital rule lim-

Q: 1+ sin x i 3. lim- 1 I+ cOs x

A:

Q: 1-sin t lim 1+cos 2t t- 2

A:

Q: 1. lim 3" 5. lim tan r 2. lim 5 6. lim cos r 3. lim log r 4. lim cos r 7. lim sinr

A:

Q: sin - COS I Q1-Solve by hospital rule lim

A: By using L hospital rule

Q: Find the limits

A: Given: Function  To Find: Limit of the function at the given point

Q: lim x→0 (sin10(x)cos(8x))/x=?

A:

Q: (2-t+ sin 6-lim t-00 t+cos t

A:

Q: 1 lim is equal to: (t – 1)2 '

A:

Q: b) lim, . sin(8z)

A:

Q: i) lim cos x-0 7 πCOS²x x²

A:

Q: cos x lim z-n/2 sin (2x)

A: If limx→afxgx is in 00 form or ∞∞ form; then applying L Hospitals' rule we get:…

Q: lim h-0 2h sin(x² )dx = -2h cos(1) sin(1)

A:

Q: Sin (Cos8X) Find dy

A: Given,           y=sincos8x

Q: 2 -t+ sin t 11. lim t-00 t+ cos

A: We have to solve: limt→∞2-t+sin tt+cos t

Q: sin 1(e") 2. lim (- V1-e2

A:

Q: Evaluate the limit.

A: Given that, limh→0sin(2h)(1-cos h)h2 Because of the direct substitution of h = 0 into this, we get…

Q: Evaluate the limit.

A: limt→01-cos2tsin23t

Q: lim »0 sin(2t) tan(7t) is t2

A: Here we find the value limt→0sin(2t) tan(7t)t2

Q: Find the limits

A:

Q: e) lim 1-cost sin²)

A:

Q: sin TX Q.3 Find the lim, 0 sin 3x

A: the given limit is: limx→0sinπxsin3x we have to evaluate the given limit.

Q: 2 cos(3x) – 3 x2 – 2 sin(9x) – x2 – 9x - lim - (Use calculator and write your final answer in the…

A:

Q: sin(x) is The solution for lim 1- cos(x) O 1 O DNE

A:

Q: 15) lim cos (2x)

A: Let fx=cos2x

Q: (=)- lim- sin +sin +..+sin В) -2 C) 0 E) - A) 2 D) 2

A: Consider the provided expression, limn→∞πnsinπn+sin2πn+...+sinnπn The above expression is simplified…

Q: 05. lim, (e* - 1)cos x

A:

Q: sin(3t) i+ In(tan(6t)) -j+(t – 2) cos(3t) k , find lim F(t). t+0+ Let F(t) sin(6t) In(sin(3t))

A: solve the following

Q: **. (1) lim,- V1+cos 2x 4 (x-) Q3) Find:

A:

Q: sin(9x) (d) lim x – 7 (e) lim 7| (f) lim x8, COS

A: We have to evaluate the following limits

Q: Q1: lim,»1 x(1 – cos-)

A: Evaluate: limx→1 x1-cos1x

Q: 2x tan x+ cos I COS T lim

A:

Q: sin(4z) 7. lim I-0

A:

Q: 3x2 lim x→0 cos(2x) – 1

A:

Q: 5. Evaluate | (x² +1)* dx using trigonometric substitution as your first step (not a u-sub as your…

A: The solution is given below in the next step:

Q: sin-1(e* 2 lim V1 - e2x x→0-

A:

Q: 2. Let f(x) = -x³ - cosx and po = -1. Use Newton's method to find p2. Could po = 0 be used?

A:

Q: sin z coS T Q1-Solve by hospital rule lim

A:

Q: sin(2h)(1 – cos h) h2 lim

A: Consider Then simplify the function

Q: 2-t+ sint 45. lim t+ cos t

A: We have to find he limit: limt→-∞2-t+sin tt+cos t

Q: = sin? (esin" t) + cos-1(2t3 (x) = tanh-1 x + In V1– x2 |

A:

Q: lim 2?e --00 1- cos(2x) im

A:

Q: lim t→0 of tan4t/sin2t

A:

Q: sin(3t) lim t t→0

A:

Q: ez - x - 1 lim 1-0 -1+cos r COS T

A:

Q: Find the limit.

A: We have to find the limit: limθ→0cos θ-1sin θ This is 00 indeterminate form so we can apply L'…

Q: Find 2 sin(x + sin(x + sin a)) – 2 cos(cos 1) lim 2x – T ithout using L'Hôpital's Rule.

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.