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

Q: sin(a+x)-sin x 3. limx-0

A: limx→0sin(a+x)-sinxx

Q: sin 2. lim- 3x

A:

Q: lim tangx X->즐 (쫄-x n2.

A: Given: limx→π2tan2xπ2-x 00 form If limx→afxg(x) is of the form 00, then we use L'Hospital's rule.…

Q: 6h lim-0 tan4h

A:

Q: lim 2x

A: Given: limx→∞2xx+1-1

Q: lim Sin (x-B) XB (x-B)

A:

Q: lim z2= 10 20 -2 0 -10

A: The objective is to find the limz→iz2. Since z2 is continuous.

Q: -1 sin (5x) lim

A: The given expression is limx→0sin-15xx the given expression is the indeterminate form 00 Apply L'…

Q: lim (5+

A:

Q: lim Ho eda + 2r lim 12/(1-1)

A: 1.. To find value of limit fist check weather it indeteeminant form or not. If it is in 0/0 or…

Q: e2x - e 2x 3. lim, 0 sinx

A: To evaluate the given limit.limx→0 e2x-e-2xsin x

Q: lim tan 2x

A: It is given that, limx→0tan2xx   The objective is to evaluate the given limit. So, Apply the…

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

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

Q: cos x lim

A: the given limit is                   limx→∞cos(x)x as the limit applied directly cannot give the…

Q: lim x→0 tan2x-2sinx x3

A: A detailed solution is given below.

Q: x + sin x 12. lim

A: We will use the properties of limit extensively to find out the limit.

Q: 3 lim (1+ 4 x2

A: Given thatlimt→∞1+3x+4x2x. The objective of the problem is to solve the given limit.

Q: (sinx -) (3sin²x -sinx +1) lim TE +X, 2

A:

Q: sin 2x 2. lim- X0 2x+x

A:

Q: lim sin 1- 1

A: Given limit, limx→-∞sin1x

Q: lim 4 sin(x + n) +3

A: We can split the limit expression using the sum of limits rule, limx→afx+gx=limx→afx+limx→agx The…

Q: Lim 4 ht X

A:

Q: sin(r) limz-40

A:

Q: sin x lim x0 2x2-x

A: Evaluate the given limit as follows. limx→0sin x2x2-x=00 Since 0/0 is an undetermined form, the…

Q: 2tanx-sin2x 6. lim X0 x3

A:

Q: lim sin X-E TX-4x+1 2x² +5

A:

Q: 5x² - 3x b. lim 7x² +1 sint? d. lim sin 5x f. lim 0-x

A: