If x→alimxx−aaax−xa=−1 and a>0, then find the value of a.

Click here to view the solution.

Get 2 FREE Instant-Explanations on Filo with code FILOAPP

If _{{{x}{a}}}{{{a}^{{x}}-{x}^{{a}}}}{{{x}^{{x}}-{a}^{{a}}}}=-

Question

If $x \to a lim \frac{a ^{x} - x ^{a}}{x ^{x} - a ^{a}} = - 1$ and $a > 0,$ then find the value of a.

Views: 718 students

Found 6 tutors discussing this question

Chloe Discussed

x \to a lim \frac{a ^{x} - x ^{a}}{x ^{x} - a ^{a}} = - 1

and

a > 0,

then find the value of a.

8 mins ago

Discuss this question LIVE

8 mins ago

One destination to cover all your homework and assignment needs

Learn Practice Revision Succeed

Instant 1:1 help, 24x7

60, 000+ Expert tutors

Textbook solutions

Big idea maths, McGraw-Hill Education etc

Essay review

Get expert feedback on your essay

Schedule classes

High dosage tutoring from Dedicated 3 experts

Trusted by 4 million+ students

Stuck on the question or explanation?

Connect with our maths tutors online and get step by step solution of this question.

231 students are taking LIVE classes

Question Text

x \to a lim \frac{a ^{x} - x ^{a}}{x ^{x} - a ^{a}} = - 1

and

a > 0,

then find the value of a.