Evaluate the limit. [A] 5 615 [B] = [C] O lim x-0 [D] 1 sin (2x)cos (3x) 5x 25 [E] }

Q: x 3| lim x→3 3- x

A:

Q: (g) limr¬n sin 8r (h) lim,-0 sin(z) (i) limz-o 1-cos I

A: (g) Evaluate the given limit as shown below: limx→ πsin8xx=sin8ππ=0π=0

Q: Given L (-3x+10)dx Rewrite the definite integral as the limit of an infinite sum (using a right…

A: Step 1:I=∫15​(−3x+10)dx​Step 2:​Using Riemann…

Q: Find the limit as Theta approaches -2 of the function tan(theta+2)/3theta+6

A: The given limit limθ→-2tanθ+23θ+6 Take 3 commons from the denominator limθ→-2tanθ+23θ+2

Q: (a) lim r0o In(x² + 5) In(x + 2) (b) lim(1+3 sin x)/ª. 2 cos x - (c) lim r1/4 1- tan x

A: I use L hospital's Rule

Q: For what values of a and b does lim x→0 a = b = sin (2x) x³ +a+ b 2/2) = x² = 0?

A:

Q: Prove limθ→0 sin (θ)/θ=1.

A: