Answer:
0.033547 I think
Step-by-step explanation:
The limit is x---->4-
The negative show that x approaches from the left
Now
As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.
Let's pick a Number
Say 3.99
Substitute this... You have
3.99/3.99-4
3.99/-0.01
If we choose x to be 3.999
we will have
3.999/-0.001
Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY
Why?
As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result
In our case... The denominator is negative... So it Will Approach a very Huge Negative Number
Hence
Answer.. X WILL APPROACH NEGATIVE INFINITY.
Vertical asymptotes are the zeroes of the denominator of a function
The denom. is x-4
Equate to zero to get the asymptote
x-4=0
x=4
Hence... There will be a vertical asymptote at x=4.
Have a great day!
I dont know if you know this, but there are 3 different 3's. So how can we figure out the question if we don't know which one is underlined?
If the number of hours in school each week is somewhere between 20 and 40, then it can be written in scientific notation as
2.0×10¹ to 4.0×10¹
The exponent of 10 in each case is 1, so we can say the Order of Magnitude is 1.
TRUE
_____
In Engineering terms, the order of magnitude is sometimes considered to be the integer part of the base-10 logarithm of the number.
log(20) ≈ 1.3010
log(40) ≈ 1.6021
If we round these numbers to integers, we find the order of magnitude of the first is 1; the order of magnitude of the second is 2. Thus a student who spends 6 hours per day for 5 weekdays in class will have hours with an order of magnitude of 1, while a student who spends 7 hours per day for 5 days each week will have hours with an order of magnitude of 2. This question is best answered by considering "order of magnitude" in the simplistic terms of the answer above: the exponent of 10 in scientific notation.