sin (x-5) lim x→5 x -8x+15 ||

Q: lim Sinx (1-cosX) 2x2

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: How large should n be to guarantee that the Trapezoidal Rule approximation to 8 n = 4 (-x¹ + 22x³ -…

A: (a)How large should n be to guarantee that the Trapezoidal Rule approximation  to is accurate to…

Q: lim (x' - 2x² +5)=. – 2x² +5)= x→-2

A: Please refer to the image below. 9

Q: ) lim Sin (x3x+2) メーラー x3+1

A:

Q: tan(23z) lim

A: This problem of limit can be solved by the L' Hospital rule which is explained in step 2.

Q: 10 Find lim x12s 3. X->- X -25 2 lim Jx +3 - 2 メ→」 O lim Sitx - -x 3. 1-X 2 X

A:

Q: lim x-0 (cos20x) 7/20x^2

A:

Q: 3x2 + sin(x) lim x(x+ 5)

A: Given rational function is fx=3x2+sinxxx+5

Q: lim x+7 equals x→-7* x+7

A: Here we will focus on right side of -7 or better say x>-7.

Q: Dat

A:

Q: x + sin x 5. lim x 2x + 5

A: We have to solve:      limx→∞x+sin x2x+5

Q: Зх + 1 1 lim x→0 sin x 5 2 3 1 2

A:

Q: x*-2x2-x с- lim x-2 , х 2 2 х2-4

A:

Q: 1) lim X-2 2x-4n x(1-cosx) 2) lim х-0 tan(tan?x)

A:

Q: sinx (4) lim X→T X-TT

A:

Q: 2x x-0 sin 1x f. lim

A:

Q: lim (r -2)11/(3-z)

A: Firstly, we take log on both sides and use the result that  log m^n=nlogm.

Q: Find lim tanx-x x2 sinx X

A:

Q: Q Lim X4 Sin 2x 2x²+x

A:

Q: lim sin 1- 1

A: Given limit, limx→-∞sin1x

Q: Find lim x→-3 sin(−4 π x)   lim x→-3 sin(−4 π x)

A:

Q: If lim x→0 f(x) + x + 1 x sin (3x) = -5, then lim x→0 f(x) + x + 1 x² is equal to

A:

Q: lim x1/2 /(x-4)4 =? x-->4

A: Solving the expression by applying limits.

Q: lim                ex - x - 1 / x2 x => 0

A: Given:

Q: limx → 1 (x-2) / (x-1)2 ii.  limx → 1 (x2-1) / (x-1) iii. limx → 1  |x-1| / (x-1)

A:

Q: sin(x+)-sin 2. lim 2.

A: Here We have to find the limit.

Q: tan(31x) lim x → 0 5x

A:

Q: 5x + sin x Find lim

A: Here given limit as L=limx→∞5x+sinxx

Q: 1 + (a) Lim X-1 'x+1, -2

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.