wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

Evaluate: limx0e5x-e4xx


A

1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

5

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is A

1


Explanation for the correct answer:

Simplifying the equation to determinate form and applying the limits:

limx0e5x-e4xxlimx0e5x-1-e4x+1x[Adding-1+1inthenumerator]limx0e5x-1x-e4x+1xlimx05e5x-15x-4e4x+14x[Multiplyanddivide5infirsttermand4insecondterm]

Applying the limits

5×1-4×1limx0ex-1x=15-41

Thus, limx0e5x-e4xx=1

Therefore, the correct answer is option (A).


flag
Suggest Corrections
thumbs-up
1
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Extrema
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon