Answer:
b. 1/2
Step-by-step explanation:
lim (x -3)(x +2)
x-->-∞ ---------------
2x^2 + x +1
= lim (x^2 -3x +2x - 6)
x-->-∞ -----------------------
2x^2 + x +1
= lim (x^2 -x - 6)
x-->-∞ -----------------------
2x^2 + x +1
When we plug in x = -∞, we get indeterminate form.
Now we have to use the L'hospital rule.
d/dx (x^2 - x - 6) = 2x -1
d/dx (2x^2 + x + 1) = 4x + 1
Now apply the limit
lim (2x - 1) / (4x + 1)
x--->-∞
Here we have to degree of the numerator and the denominator of the same. In this case, if x --> -∞, we get the result as the coefficient of the leading term as the result.
According to the rule, we get
= 2/4
Which can simplified as 1/2
The answer is 1/2
Hope this will helpful.
Thank you.
<span>Answer:
Standard Form:
3.441
<span>Expanded forms can be written
like a sentence or stacked for
readability as they are here.</span>
Expanded Numbers Form:
<span><span> 3 </span><span>+ 0.4</span><span>+ 0.04</span><span>+ 0.001</span></span>
Expanded Factors Form:
<span><span> 3 ×1 </span><span>+4 × 0.1</span><span>+4 × 0.01</span><span>+1 × 0.001</span></span>
Expanded Exponential Form:
<span><span>3 × 100</span><span>+<span>4 × 10-1</span></span><span>+<span>4 × 10-2</span></span><span>+<span>1 × 10-3</span></span></span>
Word Form:
three and
four hundred forty-one thousandths
</span>
Answer:
0.70
0.31
1.18
Step-by-step explanation:
0.70
0.31
1.18
