Ask question

Ask question

All categories

3 years ago

9

Find the limit as limit x->0, tan2x/x

1 answer:

kiruha [24]3 years ago

3 0

We are given with the expression <span>tan2x / x</span> and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is 2 sec^2 2x/1. cos 2x is 1 so is sec^2 2x. Hence the answer is 2.

You might be interested in

When do you need to use two number lines to compare two fractions

notka56 [123]

You would use 2 number lines to compare fractions because if you were trying to see which fraction was larger than you would use a number line.

7 0

3 years ago

Read 2 more answers

Identify the equation for the parabola with vertex (0, 0) and directrix x = 2.5.

GREYUIT [131]

Answer:

jk

Step-by-step explanation:

8 0

3 years ago

1) f(x) = 2x + 4, g(x) = 4x2 + 1; Find (g ∘ f)(0).

Sholpan [36]

Answer:

<h2> $(g \: \circ \: f)(0) = 17$ </h2>

Step-by-step explanation:

f(x) = 2x + 4

g(x) = 4x² + 1

In order to find (g ∘ f)(0) we must first find

(g ° f )(x)

To find (g ° f )(x) substitute f(x) into g(x) that's for every x in g(x) replace it with f(x)

That's

<h3> $(g \: \circ \: f)(x) = 4( ({2x + 4})^{2} ) + 1 \\ = 4(4 {x}^{2} + 16x + 16) + 1 \\ = {16x}^{2} + 64x + 16 + 1$ </h3>

We have

<h3> $(g \: \circ \: f)(x) = {16x}^{2} + 64x + 17 \\$ </h3>

Now to find (g ∘ f)(0) substitute the value of x that's 0 into (g ∘ f)(0)

We have

<h3> $(g \: \circ \: f)(0) = 16( {0})^{2} + 64(0) + 17 \\$ </h3>

We have the final answer as

<h3> $(g \: \circ \: f)(0) = 17$ </h3>

Hope this helps you

8 0

3 years ago

Help #23 pleaseeeeeeeee

GuDViN [60]

A bus holds 40 people and a van holds 10

7 0

2 years ago

Darryl has written 60 percent, or 12 pages, of his history report. Darryl wants to figure out how many total pages he needs to w

Valentin [98]

Answer:

total pages = 20

Step-by-step explanation:

60% of an unknown number is 12

Let the unknown number (total pages) be x.

60/100 of x = 12

60/100 * x = 12

3/5 x = 12

x = 12 * 5/3

x = 20

8 0

2 years ago

Read 2 more answers