Question

lim
x->0
$\frac{5x \: cosx - 2sinx}{3x + tanx}$

Evaluate it

Note:- Proper Answer ​

Answer 1

Solution:

lim 5x cosx - 2sinx

x->0 ---------------------------

3x + tanx

lim (5x cosx - 2sinx) ÷ x

x->0 -------------------------------

(3x + tanx) ÷ x

lim 5x cosx 2sinx

x->0 ----------- _ -----------

x x

________________________

lim 3x tanx

x->0 ------ + --------

x x

5 cosx - (2×1)

------------------- ........sinx/x = tan/x = 1

3 + 1

5 cos(0) - 2

-------------------

4

5 - 2

---------

4

3

---- is Answer.

4