Find the limit of the following function as x approaches 2 from the right?

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1 Answer
Jan 31, 2018

#12#

Explanation:

#(x^2+8x-20)/(|2-x|)#

Factor and remove absolute bars:

#((x+10)(x-2))/-(2-x)#

Note:

We are approaching from the right, so #|2-x|=-(2-x)#

This is because:

#|a| = acolor(white)(888888)# If and only if #a>=0#

#|a| = -acolor(white)(888)# If and only if #a<0#

#((x+10)(x-2))/(x-2)#

Cancelling:

#x+10#

Plugging in #2#

#(2)+10=12#

#:.#

#lim_(x->2^+)(x^2+8x-20)/(|2-x|)=12#