Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why. lim x → 1 + [ ln ( x 7 − 1 ) − ln ( x 5 − 1 ) ]
Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why. lim x → 1 + [ ln ( x 7 − 1 ) − ln ( x 5 − 1 ) ]
Solution Summary: The author evaluates the value of undersetxto 1+mathrmlimleft.
Find the limit. Use l’Hospital’s Rule where appropriate. If there is a more elementary method, consider using it. If l’Hospital’s Rule doesn’t apply, explain why.
Find the limit. Use l'Hospital's Rule where appropriate. If there is a
more elementary method, consider using it. If l'Hospital's Rule
doesn't apply, explain why.
bx
36. lim (1+ 4)*
a
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.
lim 8e-x?
X 00
Let f(x) = -8x + 3x². Then the expression
can be written in the form Ah + Bx+C, where A, B, and C are constants. (Note: It's possible for one or more of
these constants to be 0.) Find the constants.
А
B
-
=
C=
=
Use your answer from above to find lim
h→0
lim
h→0
f(x + h) - f(x)
h
=
Finally, find each of the following:
ƒ'(1) :
ƒ'(2) =
ƒ'(3) =
f(x+h)-f(x)
h
f(x+h)-f(x)
h
Chapter 4 Solutions
Bundle: Single Variable Calculus: Early Transcendentals, 8th + WebAssign Printed Access Card for Stewart's Calculus: Early Transcendentals, 8th Edition, Multi-Term
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