Q9 of 127 Page 834

Let
Find the value of k for which exist.

Left Hand Limit(L.H.L.):

= 0 + k

= k

Right Hand Limit(R.H.L.):

= cos (0)

= 1

It is given that exists. Therefore,

→ k = 1

Let

If exists then find the value of a.

Let

Show that does not exist.

Show that .