Question

lim x-->0 ((7-3x^5+x^2sinx)/(5cosx))
I got 7/5
If you meant
lim x-->0 ((7-3x^5+(x^2)(sinx) )/(5cosx))
then you are right

If you meant:
lim x-->0 ((7-3x^5+x^(2sinx) )/(5cosx))
I got 8/5

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