` lim _ ( x to 0) ( ax + x cos x)/( b sin x)` का मान ज्ञात कीजिये ।

Explanation

` lim _ ( x to 0) ( ax+ x cos x)/( b sin x)`
` = lim_ ( x to 0) ( x [ a + cos ])/( b sin x)`
`= lim _( xto0) ( a + cos x)/(b(sinx)/x)`
` = (a + cos 0) /(b.1) " " [ :' lim_ ( x to 0) ( sin x)/x = 1 ]`
` (a+1)/b`