Let f(x)= cases e^ 1/x , & x0

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

Let f(x)={e1/x,x<0,k,x=0,ln⁡(1+x),x>0.f(x)=\begin{cases} e^{1/x}, & x<0,\\ k, & x=0,\\ \ln(1+x), & x>0. \end{cases} Determine the value of kk that makes ff continuous at x=0x=0.

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