Question

limit X belongs to zero x x / root x + 4 - 2 ​

Answer 1

ANSWER:-

lim. x/√(x+4)-2

x-->0

= lim. x[√(x+4)+2 / [√(x+4)-2] [√(x+4)+2]

x-->0

= lim. x[√x+4)+2] / [√(x+4)^2-(2)^2]

x-->0

= lim. x [√(x+4)+2] / x+4-4

x-->0

= lim. √(x+4)+2

x-->0

=√(0+4)+2

=√4+2

=2+2

=4

THIS IS THE REQUIRED ANSWER MATE

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