Class 11 RD Sharma Solutions – Chapter 29 Limits – Exercise 29.11
Evaluate the following limits:
Question 1.
Solution:
We know if such that exists, then
We have,
=
=
= ex
Question 2.
Solution:
We have,
=
=
=
=
=
=
Question 3.
Solution:
We have,
=
=
=
=
=
=
=
=
=
= e0
= 1
Question 4.
Solution:
We have,
=
=
=
=
=
=
=
= e1−0
= e
Question 5.
Solution:
We have,
=
=
=
=
=
=
=
= eab−0
= eab
Question 6.
Solution:
We have,
=
=
=
=
=
Question 7.
Solution:
We have,
=
=
=
=
=
=
Question 8.
Solution:
We have,
=
=
Applying L’Hospital’s Rule, we get,
=
=
=
=
=
Question 9.
Solution:
We have,
=
=
=
=
=
=
=
=
= ecot a
Question 10.
Solution:
We have,
=
=
=
=
= e−∞
= 1/e∞
= 0
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