Find the limit of sin(ax)/tan(bx) as x approaches 0.

1 answer:

5 0

Lim sin(ax)/tan(bx) = [lim ax .sin(ax)/ax] [bx tan(bx) /bx ]
x approaches 0 x approaches 0
we know that lim sin(ax)/ax = 1, for all value of a, and lim tan(bx) /bx = 1 for all value of b,
so lim sin(ax)/tan(bx) = lim 1 * 1 * ax* bx = lim ab x^2 = ab*0 = 0,
x approaches 0 x approaches 0 x approaches 0

You might be interested in

Is x=2 a solution to the equation below? 4(x-1)-3(x-2)=-8

Sonbull [250]

Answer:

Step-by-step explanation:

To find out if 2 is a solution, replace all the x's with 2.

4(2 - 1) - 3(2 - 2) =8

4(1) - 3(0) = 8

4 - 0 = 8

4 = 8

Nope! False! 2 is not a solution.

7 0

3 years ago

If $7500 is invested at an interest rate of 5% each year, what is the value of the investment in 4 years? Write an exponential f

Vanyuwa [196]

The answer is 9,116.3
7500*(1+0.05)^4

3 0

3 years ago

Inequality Word Problems 100 POINTS!!!

Rina8888 [55]

Answer:

1. 4 nights

2. $154

Step-by-step explanation:

1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be no more than 850 because that's Jenna's budget limit. So, we have:

478 + 93n ≤ 850

Subtract 478 from both sides:

93n ≤ 372

Divide by 93:

n ≤ 4

The maximum number of nights is 4 nights.

2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of at least $199. Seeing "at least", we know that we need to use the ≥ sign:

45 + m ≥ 199

Subtract 45 from both sides:

m ≥ 154

Abigail still needs at least $154.

Hope this helps!

3 0

3 years ago

Read 2 more answers

HELP PLZZZZZZZZZZZZ!!!!!

lana [24]

Answer:

Option (1)