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**limit of Trigonometric Functions**

**(a)** = 1 (approach from left side)

**(b)** = 1 (approach from right side)

**(c)** = 1

**(d)** = 1

[Where x is measured in radians]

**Ex.17 Find **

**Sol.**

**Ex.18 Evaluate : **

**Sol.**

**Ex.19 Solve **

**Sol. **

**Note : Limit Using Expansion of Functions**

**Ex.20 Find **

**Sol.**

**Ex.21 Find **

**Sol.**

This is of the form 0/0 if we put x = 1. Therefore we put x = 1 + h and expand.

**Ex.22 Evaluate **

**Sol.**

**Ex.23 Let f(x) be a function such that **** Find the values of a and b such that **

**Sol.**

R.H.S. is finite then L.H.S. is also finite, then 1 + a –b = 0 and

**Ex.24 If the **** exists and has the value equal to l, then find the value of **

**Sol.**

Use binomial expansion to get the following relations :

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