solve :
lim [((2x+1)^0.5)-3]/[x-4]
x-->4
Multiply top and bottom by √(2x+1) + 3
and multiply the top out
so
= lim (2x+1 - 9)[(x-4)(√(2x+1) + 3)
x--->4
= lim 2/(√(2x+1) + 3)
x --->4
= 2/6
= 1/3
lim [((2x+1)^0.5)-3]/[x-4]
x-->4
and multiply the top out
so
= lim (2x+1 - 9)[(x-4)(√(2x+1) + 3)
x--->4
= lim 2/(√(2x+1) + 3)
x --->4
= 2/6
= 1/3