# How to find these type of question easily, without using L-hopitals rule?

##### 2 Answers

Apr 2, 2018

#### Answer:

#### Explanation:

but for small

Apr 2, 2018

#### Answer:

Please see below.

#### Explanation:

As Cesareo points out:

# = sin(pi -pi sin^2)/x^2# #" "# (now use the difference formula)

# = sin(pi sin^2 x)/x^2#

# = sin(pi sin^2 x)/1 1/x^2#

# = sin(pi sin^2 x)/(pisin^2x) (pisin^2x)/x^2#

# = sin(theta)/(theta) pi (sinx/x)^2#

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