Answer:
C
Step-by-step explanation:
Since this is an indererminate form, use L'Hopital
d(sint)/dt = cos(t)
d[ln(2e^t) - 1] = (2e^t)/[2e^t - 1]
As t --> 0,
cos(0) = 1
(2e^t)/[2e^t - 1] = 2
1/2 is the limit
Answer:

Step-by-step explanation:
we would like to integrate the following Integral:

well, to get the constant we can consider the following Integration rule:

therefore,

recall exponent integration rule:

so let,
Thus integrate:

simplify addition:

reduce fraction:

finally we of course have to add the constant of integration:

hence,
our answer is D)
Answer:
Factor
−
1
out of
−
3
x
2
+
4
x
−
7
.
−
(
3
x
2
−
4
x
+
7
)
Step-by-step explanation:
Answer:
Step-by-step explanation:
f(2x-3)
-(2x - 3) + 5
-2x + 3 + 5= -2x + 8
answer is A